Finding the Third Proportional to 129,666 and 200,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,666 : 200,032.50 = 200,032.50 : x
2. Step 2: Convert to fraction form
   129,666/200,032.50 = 200,032.50/x
3. Step 3: Cross multiply
   129,666x = 200,032.50 × 200,032.50
4. Step 4: Simplify right side
   129,666x = 40,013,001,056.25
5. Step 5: Solve for x
   x = 40,013,001,056.25/129,666
6. Step 6: Final answer
   x = 308,585.14