Because UltraTouch heated toilet seats use a UL list fused low voltage transformer, you can safely plug extension sections together and route the wire along a wall or baseboard to the nearest wall outlet.
Some installation examples would be routing the cord along the baseboard through the corner of a doorway into an adjacent room or even poking a small hole through the wall to access an outlet in that room. You may wish to consult a professional for any advanced installation such as penetrating a wall.