Finding the Third Proportional to 226,304 and 496,096

Step by Step Solution

1. Step 1: Write the proportion equation
   226,304 : 496,096 = 496,096 : x
2. Step 2: Convert to fraction form
   226,304/496,096 = 496,096/x
3. Step 3: Cross multiply
   226,304x = 496,096 × 496,096
4. Step 4: Simplify right side
   226,304x = 246,111,241,216
5. Step 5: Solve for x
   x = 246,111,241,216/226,304
6. Step 6: Final answer
   x = 1,087,524.93