Out of Bounds Throw-In Spot

[JohnDorian37]

New official here--a really basic question but it's not clear to me from the rules.

A1 touches the ball in his/her frontcourt and is the last to touch the ball before it goes out of bounds in the backcourt. Is B awarded the ball in A's frontcourt (where it was last touched) or in B's frontcourt (where the ball went out).

I always assumed the throw-in should be where the ball went out, but from the rules it seems that the violation may be being the last to touch it before it goes out, in which case the "spot nearest the violation" would be near where it was last touched--regardless of where it went out.

Thanks!