Finding the Third Proportional to 226,770 and 496,506

Step by Step Solution

1. Step 1: Write the proportion equation
   226,770 : 496,506 = 496,506 : x
2. Step 2: Convert to fraction form
   226,770/496,506 = 496,506/x
3. Step 3: Cross multiply
   226,770x = 496,506 × 496,506
4. Step 4: Simplify right side
   226,770x = 246,518,208,036
5. Step 5: Solve for x
   x = 246,518,208,036/226,770
6. Step 6: Final answer
   x = 1,087,084.75