Finding the Third Proportional to 224,842 and 497,296

Step by Step Solution

1. Step 1: Write the proportion equation
   224,842 : 497,296 = 497,296 : x
2. Step 2: Convert to fraction form
   224,842/497,296 = 497,296/x
3. Step 3: Cross multiply
   224,842x = 497,296 × 497,296
4. Step 4: Simplify right side
   224,842x = 247,303,311,616
5. Step 5: Solve for x
   x = 247,303,311,616/224,842
6. Step 6: Final answer
   x = 1,099,898.20