Finding the Third Proportional to 396,022 and 567,499

Step by Step Solution

1. Step 1: Write the proportion equation
   396,022 : 567,499 = 567,499 : x
2. Step 2: Convert to fraction form
   396,022/567,499 = 567,499/x
3. Step 3: Cross multiply
   396,022x = 567,499 × 567,499
4. Step 4: Simplify right side
   396,022x = 322,055,115,001
5. Step 5: Solve for x
   x = 322,055,115,001/396,022
6. Step 6: Final answer
   x = 813,225.31