Debian – Using postfix to relay/forward to gmail

I have set-up postfix on Debian 6 and I would like to forward emails to my gmail account. This is my /etc/postfix/main.cf file:

# Debian specific:  Specifying a file name will cause the first
# line of that file to be used as the name.  The Debian default
# is /etc/mailname.
#myorigin = /etc/mailname

smtpd_banner = $myhostname ESMTP $mail_name (Debian/GNU)
biff = no

# appending .domain is the MUA's job.
append_dot_mydomain = no

# Uncomment the next line to generate "delayed mail" warnings
#delay_warning_time = 4h

readme_directory = no

# TLS parameters
smtpd_tls_cert_file=/etc/ssl/certs/ssl-cert-snakeoil.pem
smtpd_tls_key_file=/etc/ssl/private/ssl-cert-snakeoil.key
smtpd_use_tls=yes
smtpd_tls_session_cache_database = btree:${data_directory}/smtpd_scache
smtp_tls_session_cache_database = btree:${data_directory}/smtp_scache

# See /usr/share/doc/postfix/TLS_README.gz in the postfix-doc package for
# information on enabling SSL in the smtp client.

myhostname = example.com
alias_maps = hash:/etc/aliases
alias_database = hash:/etc/aliases
myorigin = /etc/mailname
mydestination = example.com, localhost
relayhost =
mynetworks = 127.0.0.0/8 [::ffff:127.0.0.0]/104 [::1]/128
mailbox_size_limit = 0
recipient_delimiter = +
inet_interfaces = all

# configure for virtual hosting
virtual_alias_domains = example.com
virtual_alias_maps = hash:/etc/postfix/virtual
home_mailbox = mail/

In my /etc/postfix/virtual file I have:

 test@example.com test@gmail.com

But when I send an email from hotmail to test@example.com I get the following error:

Final-Recipient: rfc822;test@example.com
Action: failed
Status: 5.7.1
Diagnostic-Code: smtp;554 5.7.1 <test@example.com: Relay access denied

and /var/log/mail.log says:

postfix/smtpd[31752]: connect from mail-qy0-f178.google.com[xxx.xx.xxx.xxx]
postfix/smtpd[31752]: NOQUEUE: reject: RCPT from mail-qy0-f178.google.com[xxx.xx.xxx.xxx]: 554 5.7.1 <test@example.com>: Relay access denied; from=<example@gmail.com> to=<test@example.com> proto=ESMTP helo=<mail-qy0-f178.google.com>
postfix/smtpd[31752]: disconnect from mail-qy0-f178.google.com[xxx.xx.xxx.xxx]

Do I need to be doing something with SMTP authentication?

Fixed. In the /etc/postfix/main.cf file I had:

mydestination = www.example.com, localhost

replacing with the following got it working:

mydestination = example.com, localhost