godan ~す verb / transitive:

• to stick through; to force through
• to spread throughout; to thoroughly diffuse
• to make a path between two points
• to proceed in a logical manner ➜ 筋を通す【すじをとおす】
• to let pass; to allow through
• to lead (someone) into (a house, room, etc.); to show in
• to go through (a middleman)
• to (look, listen) through (a window, wall, etc.)
• to pass (a law, applicant, etc.)
• to force to accept; to force agreement
• to continue (in a state); to persist in
• to do to the entirety of; to cover all of; to span the whole ...
• to do from beginning to end without a break - in the form とおして…する
• to convey (one's ideas, etc.) to the other party
• to do to the end; to carry through; to complete - after the -te form of a verb