Finding the Third Proportional to 83,498 and 172,516

Step by Step Solution

1. Step 1: Write the proportion equation
   83,498 : 172,516 = 172,516 : x
2. Step 2: Convert to fraction form
   83,498/172,516 = 172,516/x
3. Step 3: Cross multiply
   83,498x = 172,516 × 172,516
4. Step 4: Simplify right side
   83,498x = 29,761,770,256
5. Step 5: Solve for x
   x = 29,761,770,256/83,498
6. Step 6: Final answer
   x = 356,436.92