Finding the Third Proportional to 226,780 and 496,526

Step by Step Solution

1. Step 1: Write the proportion equation
   226,780 : 496,526 = 496,526 : x
2. Step 2: Convert to fraction form
   226,780/496,526 = 496,526/x
3. Step 3: Cross multiply
   226,780x = 496,526 × 496,526
4. Step 4: Simplify right side
   226,780x = 246,538,068,676
5. Step 5: Solve for x
   x = 246,538,068,676/226,780
6. Step 6: Final answer
   x = 1,087,124.39