Finding the Third Proportional to 397,868 and 814,118

Step by Step Solution

1. Step 1: Write the proportion equation
   397,868 : 814,118 = 814,118 : x
2. Step 2: Convert to fraction form
   397,868/814,118 = 814,118/x
3. Step 3: Cross multiply
   397,868x = 814,118 × 814,118
4. Step 4: Simplify right side
   397,868x = 662,788,117,924
5. Step 5: Solve for x
   x = 662,788,117,924/397,868
6. Step 6: Final answer
   x = 1,665,849.27