Finding the Third Proportional to 59,564.50 and 129,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,564.50 : 129,807.50 = 129,807.50 : x
2. Step 2: Convert to fraction form
   59,564.50/129,807.50 = 129,807.50/x
3. Step 3: Cross multiply
   59,564.50x = 129,807.50 × 129,807.50
4. Step 4: Simplify right side
   59,564.50x = 16,849,987,056.25
5. Step 5: Solve for x
   x = 16,849,987,056.25/59,564.50
6. Step 6: Final answer
   x = 282,886.40