Finding the Third Proportional to 262,569 and 562,499

Step by Step Solution

1. Step 1: Write the proportion equation
   262,569 : 562,499 = 562,499 : x
2. Step 2: Convert to fraction form
   262,569/562,499 = 562,499/x
3. Step 3: Cross multiply
   262,569x = 562,499 × 562,499
4. Step 4: Simplify right side
   262,569x = 316,405,125,001
5. Step 5: Solve for x
   x = 316,405,125,001/262,569
6. Step 6: Final answer
   x = 1,205,036.10