Finding the Third Proportional to 59,086.50 and 129,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,086.50 : 129,706.50 = 129,706.50 : x
2. Step 2: Convert to fraction form
   59,086.50/129,706.50 = 129,706.50/x
3. Step 3: Cross multiply
   59,086.50x = 129,706.50 × 129,706.50
4. Step 4: Simplify right side
   59,086.50x = 16,823,776,142.25
5. Step 5: Solve for x
   x = 16,823,776,142.25/59,086.50
6. Step 6: Final answer
   x = 284,731.30