Finding the Third Proportional to 262,816 and 576,499

Step by Step Solution

1. Step 1: Write the proportion equation
   262,816 : 576,499 = 576,499 : x
2. Step 2: Convert to fraction form
   262,816/576,499 = 576,499/x
3. Step 3: Cross multiply
   262,816x = 576,499 × 576,499
4. Step 4: Simplify right side
   262,816x = 332,351,097,001
5. Step 5: Solve for x
   x = 332,351,097,001/262,816
6. Step 6: Final answer
   x = 1,264,577.11