Verb (5-dan, す, transitive)
1.  to stick through;  to force through
2.  to spread throughout;  to thoroughly diffuse
3.  to make a path between two points
4.  to proceed in a logical manner
5.  to let pass;  to allow through
6.  to lead (someone) into (a house, room, etc.);  to show in
7.  to go through (a middleman)
8.  to (look, listen) through (a window, wall, etc.)
9.  to pass (a law, applicant, etc.)
10.  to force to accept;  to force agreement
11.  to continue (in a state);  to persist in
12.  to do to the entirety of;  to cover all of;  to span the whole ...
13.  to do from beginning to end without a break
in the form とおして…する
14.  to convey (one's ideas, etc.) to the other party
15.  to do to the end;  to carry through;  to complete
after the -te form of a verb