Finding the Third Proportional to 80,746 and 172,534

Step by Step Solution

1. Step 1: Write the proportion equation
   80,746 : 172,534 = 172,534 : x
2. Step 2: Convert to fraction form
   80,746/172,534 = 172,534/x
3. Step 3: Cross multiply
   80,746x = 172,534 × 172,534
4. Step 4: Simplify right side
   80,746x = 29,767,981,156
5. Step 5: Solve for x
   x = 29,767,981,156/80,746
6. Step 6: Final answer
   x = 368,661.99