Finding the Third Proportional to 129,498.25 and 200,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,498.25 : 200,972.50 = 200,972.50 : x
2. Step 2: Convert to fraction form
   129,498.25/200,972.50 = 200,972.50/x
3. Step 3: Cross multiply
   129,498.25x = 200,972.50 × 200,972.50
4. Step 4: Simplify right side
   129,498.25x = 40,389,945,756.25
5. Step 5: Solve for x
   x = 40,389,945,756.25/129,498.25
6. Step 6: Final answer
   x = 311,895.69