Finding the Third Proportional to 59,659 and 129,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,659 : 129,852.50 = 129,852.50 : x
2. Step 2: Convert to fraction form
   59,659/129,852.50 = 129,852.50/x
3. Step 3: Cross multiply
   59,659x = 129,852.50 × 129,852.50
4. Step 4: Simplify right side
   59,659x = 16,861,671,756.25
5. Step 5: Solve for x
   x = 16,861,671,756.25/59,659
6. Step 6: Final answer
   x = 282,634.17