Finding the Third Proportional to 59,827.50 and 129,561

Step by Step Solution

1. Step 1: Write the proportion equation
   59,827.50 : 129,561 = 129,561 : x
2. Step 2: Convert to fraction form
   59,827.50/129,561 = 129,561/x
3. Step 3: Cross multiply
   59,827.50x = 129,561 × 129,561
4. Step 4: Simplify right side
   59,827.50x = 16,786,052,721
5. Step 5: Solve for x
   x = 16,786,052,721/59,827.50
6. Step 6: Final answer
   x = 280,574.20