Finding the Third Proportional to 402,592 and 822,662

Step by Step Solution

1. Step 1: Write the proportion equation
   402,592 : 822,662 = 822,662 : x
2. Step 2: Convert to fraction form
   402,592/822,662 = 822,662/x
3. Step 3: Cross multiply
   402,592x = 822,662 × 822,662
4. Step 4: Simplify right side
   402,592x = 676,772,766,244
5. Step 5: Solve for x
   x = 676,772,766,244/402,592
6. Step 6: Final answer
   x = 1,681,038.78