Finding the Third Proportional to 397,882.50 and 814,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   397,882.50 : 814,147.50 = 814,147.50 : x
2. Step 2: Convert to fraction form
   397,882.50/814,147.50 = 814,147.50/x
3. Step 3: Cross multiply
   397,882.50x = 814,147.50 × 814,147.50
4. Step 4: Simplify right side
   397,882.50x = 662,836,151,756.25
5. Step 5: Solve for x
   x = 662,836,151,756.25/397,882.50
6. Step 6: Final answer
   x = 1,665,909.29