Finding the Third Proportional to 83,429 and 129,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,429 : 129,288.50 = 129,288.50 : x
2. Step 2: Convert to fraction form
   83,429/129,288.50 = 129,288.50/x
3. Step 3: Cross multiply
   83,429x = 129,288.50 × 129,288.50
4. Step 4: Simplify right side
   83,429x = 16,715,516,232.25
5. Step 5: Solve for x
   x = 16,715,516,232.25/83,429
6. Step 6: Final answer
   x = 200,356.19