Finding the Third Proportional to 224.72 and 490.78

Step by Step Solution

1. Step 1: Write the proportion equation
   224.72 : 490.78 = 490.78 : x
2. Step 2: Convert to fraction form
   224.72/490.78 = 490.78/x
3. Step 3: Cross multiply
   224.72x = 490.78 × 490.78
4. Step 4: Simplify right side
   224.72x = 240,866.24
5. Step 5: Solve for x
   x = 240,866.24/224.72
6. Step 6: Final answer
   x = 1,071.86