The message from Craig was displayed for Linsay during rush hour on Monday evening - the venue for their first date three years ago.
Craig asked: "Tonight I am asking you to make these happy times go on forever... will you marry me?"
ScotRail confirmed in a tweet: "SHE SAID YES! Big congratulations to Linsay & Craig!"
A couple are getting hitched after a proposal was relayed on information screens at Glasgow Central Station.