what sort of rim is it.

easiest way i find without a blaster is.

fit the tyre, seat the rear bead (takes a bit of hard yakka).
remove wheel and tyre from tyre machine, get a larger tyre,
sit wheel and tyre in larger tyre with the seated bead facing the bottom tyre
put pressure on the centre of the rim forcing the tyre to stretch and pump it up at the same time.

takes a bit. i just purchised a bead blaster for myself the other day. worth while investment!