Finding the Third Proportional to 262,024 and 561,402

Step by Step Solution

1. Step 1: Write the proportion equation
   262,024 : 561,402 = 561,402 : x
2. Step 2: Convert to fraction form
   262,024/561,402 = 561,402/x
3. Step 3: Cross multiply
   262,024x = 561,402 × 561,402
4. Step 4: Simplify right side
   262,024x = 315,172,205,604
5. Step 5: Solve for x
   x = 315,172,205,604/262,024
6. Step 6: Final answer
   x = 1,202,837.17