Finding the Third Proportional to 397,882 and 814,150

Step by Step Solution

1. Step 1: Write the proportion equation
   397,882 : 814,150 = 814,150 : x
2. Step 2: Convert to fraction form
   397,882/814,150 = 814,150/x
3. Step 3: Cross multiply
   397,882x = 814,150 × 814,150
4. Step 4: Simplify right side
   397,882x = 662,840,222,500
5. Step 5: Solve for x
   x = 662,840,222,500/397,882
6. Step 6: Final answer
   x = 1,665,921.61