Finding the Third Proportional to 387,909 and 822,462

Step by Step Solution

1. Step 1: Write the proportion equation
   387,909 : 822,462 = 822,462 : x
2. Step 2: Convert to fraction form
   387,909/822,462 = 822,462/x
3. Step 3: Cross multiply
   387,909x = 822,462 × 822,462
4. Step 4: Simplify right side
   387,909x = 676,443,741,444
5. Step 5: Solve for x
   x = 676,443,741,444/387,909
6. Step 6: Final answer
   x = 1,743,820.69