Finding the Third Proportional to 59,151 and 126,605

Step by Step Solution

1. Step 1: Write the proportion equation
   59,151 : 126,605 = 126,605 : x
2. Step 2: Convert to fraction form
   59,151/126,605 = 126,605/x
3. Step 3: Cross multiply
   59,151x = 126,605 × 126,605
4. Step 4: Simplify right side
   59,151x = 16,028,826,025
5. Step 5: Solve for x
   x = 16,028,826,025/59,151
6. Step 6: Final answer
   x = 270,981.49