1to push along (a bicycle etc while walking)
2to implement; to carry out; to introduce (a policy, system, reform etc)
3to promote; to advance (the practice of an art form, the use of a language etc)
Examples
wǒ我jué xīn决心yào要tuī xíng推行zhè这gè个jì huà计划。
我决心要推行这个计划。
I am determined to carry out this plan.
公司从下个月开始推行新的管理制度。
The company is starting to implement the new management system from next month.
他们继续推行他们的计划。
They went ahead with their plan.