Finding the Third Proportional to 402,594 and 822,666

Step by Step Solution

1. Step 1: Write the proportion equation
   402,594 : 822,666 = 822,666 : x
2. Step 2: Convert to fraction form
   402,594/822,666 = 822,666/x
3. Step 3: Cross multiply
   402,594x = 822,666 × 822,666
4. Step 4: Simplify right side
   402,594x = 676,779,347,556
5. Step 5: Solve for x
   x = 676,779,347,556/402,594
6. Step 6: Final answer
   x = 1,681,046.78