Finding the Third Proportional to 83,406 and 129,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,406 : 129,340.50 = 129,340.50 : x
2. Step 2: Convert to fraction form
   83,406/129,340.50 = 129,340.50/x
3. Step 3: Cross multiply
   83,406x = 129,340.50 × 129,340.50
4. Step 4: Simplify right side
   83,406x = 16,728,964,940.25
5. Step 5: Solve for x
   x = 16,728,964,940.25/83,406
6. Step 6: Final answer
   x = 200,572.68