For a vinyl floor, it's hard to beat "Quick Shine" floor finish.
I sweep the whole trailer out really well, squirt the Quick Shine directly on the floor and mop it in with a standard sponge mop.
If it's really dirty, I'll go through with a standard mop solution of Pine Sol first.
I did this last year, and the floors are still pretty shiny; it's about time to do it again though.
2014 Jay Flight 28 BHBE
2015 RAM 2500 6.4L HEMI, Tradesman 4x4, 3.73
Blue Ox SwayPro (BXW 1503)
Upgraded from an REI internal frame backpack and a Eureka 1/2 dome tent!