Finding the Third Proportional to 227,524 and 496,456

Step by Step Solution

1. Step 1: Write the proportion equation
   227,524 : 496,456 = 496,456 : x
2. Step 2: Convert to fraction form
   227,524/496,456 = 496,456/x
3. Step 3: Cross multiply
   227,524x = 496,456 × 496,456
4. Step 4: Simplify right side
   227,524x = 246,468,559,936
5. Step 5: Solve for x
   x = 246,468,559,936/227,524
6. Step 6: Final answer
   x = 1,083,264.01