Finding the Third Proportional to 262,022 and 561,398

Step by Step Solution

1. Step 1: Write the proportion equation
   262,022 : 561,398 = 561,398 : x
2. Step 2: Convert to fraction form
   262,022/561,398 = 561,398/x
3. Step 3: Cross multiply
   262,022x = 561,398 × 561,398
4. Step 4: Simplify right side
   262,022x = 315,167,714,404
5. Step 5: Solve for x
   x = 315,167,714,404/262,022
6. Step 6: Final answer
   x = 1,202,829.21