After restricting Railways' first innings within the 400-run mark, Punjab finished the second day at the Karnail Singh Stadium at 157 for three.
Yuvraj's belligerent knock came off just 81 balls and contained 15 fours and a six over mid-wicket, off Shreyas Khanolkar, as Punjab piled on the runs in 53 overs.
Dinesh Mongia also made a patient 33 and added 79 runs for the second wicket with Yuvraj Singh after opener Ravneet Ricky (2) fell cheaply, leg before to Harvinder Singh, with the scoreboard reading 26.
Yuvraj enthralled the small crowd with amazing display of strokeplay before perishing to a Shreyas Khanolkar delivery. He frittered away the opportunity to score a century in a bid to score quick runs and offered a return catch to the off-spinner.
Mongia, who had till then played with his head down, also lost his wicket when he tried to lift crafty off-spinner Kulamani Parida for six. Khanolkar came off with a spectacular catch at long-off to sent Mongia back to the pavilion.
Pankaj Dharmani (27) and Reetinder Singh Sodhi (13) played sensibly to deny anymore wicket to the home bowlers.
Earlier, Gagandeep Singh's five-wicket haul restricted Railways, who had started the day at a commanding 311 for four.