Finding the Third Proportional to 83,766.75 and 129,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,766.75 : 129,538.50 = 129,538.50 : x
2. Step 2: Convert to fraction form
   83,766.75/129,538.50 = 129,538.50/x
3. Step 3: Cross multiply
   83,766.75x = 129,538.50 × 129,538.50
4. Step 4: Simplify right side
   83,766.75x = 16,780,222,982.25
5. Step 5: Solve for x
   x = 16,780,222,982.25/83,766.75
6. Step 6: Final answer
   x = 200,320.81