Finding the Third Proportional to 78,936 and 172,336

Step by Step Solution

1. Step 1: Write the proportion equation
   78,936 : 172,336 = 172,336 : x
2. Step 2: Convert to fraction form
   78,936/172,336 = 172,336/x
3. Step 3: Cross multiply
   78,936x = 172,336 × 172,336
4. Step 4: Simplify right side
   78,936x = 29,699,696,896
5. Step 5: Solve for x
   x = 29,699,696,896/78,936
6. Step 6: Final answer
   x = 376,250.34