Finding the Third Proportional to 226,778 and 496,522

Step by Step Solution

1. Step 1: Write the proportion equation
   226,778 : 496,522 = 496,522 : x
2. Step 2: Convert to fraction form
   226,778/496,522 = 496,522/x
3. Step 3: Cross multiply
   226,778x = 496,522 × 496,522
4. Step 4: Simplify right side
   226,778x = 246,534,096,484
5. Step 5: Solve for x
   x = 246,534,096,484/226,778
6. Step 6: Final answer
   x = 1,087,116.46