Puzzle of the Week #45 - Three Dice

I have three special dice. They are each 6-sided, and each has a positive whole number on each face.

Unlike standard dice, where the highest number achievable is 18, and many numbers can be achieved in several different ways, these special dice can total any whole number from 3 to 218.

The numbers on the first die total 174. The numbers on the second die total 348.

Level 1 challenge: what is the total of the numbers on the third die?

Level 2 challenge (for super-humans only): what numbers are on each of the dice?