Finding the Third Proportional to 226,772 and 496,510

Step by Step Solution

1. Step 1: Write the proportion equation
   226,772 : 496,510 = 496,510 : x
2. Step 2: Convert to fraction form
   226,772/496,510 = 496,510/x
3. Step 3: Cross multiply
   226,772x = 496,510 × 496,510
4. Step 4: Simplify right side
   226,772x = 246,522,180,100
5. Step 5: Solve for x
   x = 246,522,180,100/226,772
6. Step 6: Final answer
   x = 1,087,092.68