Finding the Third Proportional to 397,886 and 814,156

Step by Step Solution

1. Step 1: Write the proportion equation
   397,886 : 814,156 = 814,156 : x
2. Step 2: Convert to fraction form
   397,886/814,156 = 814,156/x
3. Step 3: Cross multiply
   397,886x = 814,156 × 814,156
4. Step 4: Simplify right side
   397,886x = 662,849,992,336
5. Step 5: Solve for x
   x = 662,849,992,336/397,886
6. Step 6: Final answer
   x = 1,665,929.42