Finding the Third Proportional to 226,776 and 496,518

Step by Step Solution

1. Step 1: Write the proportion equation
   226,776 : 496,518 = 496,518 : x
2. Step 2: Convert to fraction form
   226,776/496,518 = 496,518/x
3. Step 3: Cross multiply
   226,776x = 496,518 × 496,518
4. Step 4: Simplify right side
   226,776x = 246,530,124,324
5. Step 5: Solve for x
   x = 246,530,124,324/226,776
6. Step 6: Final answer
   x = 1,087,108.53