Finding the Third Proportional to 59,830 and 129,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,830 : 129,565.50 = 129,565.50 : x
2. Step 2: Convert to fraction form
   59,830/129,565.50 = 129,565.50/x
3. Step 3: Cross multiply
   59,830x = 129,565.50 × 129,565.50
4. Step 4: Simplify right side
   59,830x = 16,787,218,790.25
5. Step 5: Solve for x
   x = 16,787,218,790.25/59,830
6. Step 6: Final answer
   x = 280,581.96