Finding the Third Proportional to 226,758 and 496,524

Step by Step Solution

1. Step 1: Write the proportion equation
   226,758 : 496,524 = 496,524 : x
2. Step 2: Convert to fraction form
   226,758/496,524 = 496,524/x
3. Step 3: Cross multiply
   226,758x = 496,524 × 496,524
4. Step 4: Simplify right side
   226,758x = 246,536,082,576
5. Step 5: Solve for x
   x = 246,536,082,576/226,758
6. Step 6: Final answer
   x = 1,087,221.10