Mail from mailx not received

Hi ,

I'm trying to send a mail from a sunOS machine that is within hp network to my email: eman.el-badawy@hp.com ,the user trying to send
is 'project',,but seems the mail address can not be resolved

checking /var/log/syslog i got the following:

Dec 25 14:34:02 svddev15 sendmail[3458]: [ID 801593 mail.info] qBPDY2md003458: from=project, size=109, class=0, nrcpts=1, msgid=<201212251334.qBPDY2md003458@my.local>, relay=project@localhost
Dec 25 14:34:07 svddev15 sendmail[3459]: [ID 801593 mail.info] qBPDY2st003459: from=<project@my.local>, size=367, class=0, nrcpts=1, msgid=<201212251334.qBPDY2md003458@my.local>, proto=ESMTP, daemon=MTA, relay=localhost [127.0.0.1]
Dec 25 14:34:07 svddev15 sendmail[3458]: [ID 801593 mail.info] qBPDY2md003458: to=eman.el-badawy@hp.com, ctladdr=project (101/29501), delay=00:00:05, xdelay=00:00:05, mailer=relay, pri=30109, relay=[127.0.0.1] [127.0.0.1], dsn=2.0.0, stat=Sent (qBPDY2st003459 Message accepted for delivery)
Dec 25 14:37:23 svddev15 sendmail[3461]: [ID 801593 mail.info] qBPDY2st003459: to=<eman.el-badawy@hp.com>, ctladdr=<project@my.local> (101/29501), delay=00:03:16, xdelay=00:03:16, mailer=esmtp, pri=120367, relay=mailhost.local, dsn=5.1.2, stat=Host unknown (Name server: mailhost.local: host not found)
Dec 25 14:37:23 svddev15 sendmail[3461]: [ID 801593 mail.info] qBPDY2st003459: qBPDbNst003461: DSN: Host unknown (Name server: mailhost.local: host not found)
Dec 25 14:37:23 svddev15 sendmail[3461]: [ID 801593 mail.info] qBPDbNst003461: to=<project@my.local>, delay=00:00:00, xdelay=00:00:00, mailer=local, pri=31579, relay=local, dsn=2.0.0, stat=Sent

Please advise how to make this machine be able to send to an external host

P.S: from outlook i could get my SMTP address, it looked like: adcdef.routing@example.com, and sending to this directly worked, while sending to eman.el-badawy@hp.com did not

Thanks in advance,
Eman

www.unix.com/solaris/149430-configure-sendmail-solaris-10-relay-al-mail.html