Finding the Third Proportional to 224,470 and 498,766

Step by Step Solution

1. Step 1: Write the proportion equation
   224,470 : 498,766 = 498,766 : x
2. Step 2: Convert to fraction form
   224,470/498,766 = 498,766/x
3. Step 3: Cross multiply
   224,470x = 498,766 × 498,766
4. Step 4: Simplify right side
   224,470x = 248,767,522,756
5. Step 5: Solve for x
   x = 248,767,522,756/224,470
6. Step 6: Final answer
   x = 1,108,243.96