Finding the Third Proportional to 86,082 and 187,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,082 : 187,411.50 = 187,411.50 : x
2. Step 2: Convert to fraction form
   86,082/187,411.50 = 187,411.50/x
3. Step 3: Cross multiply
   86,082x = 187,411.50 × 187,411.50
4. Step 4: Simplify right side
   86,082x = 35,123,070,332.25
5. Step 5: Solve for x
   x = 35,123,070,332.25/86,082
6. Step 6: Final answer
   x = 408,018.75