Finding the Third Proportional to 102.56 and 225.38

Step by Step Solution

1. Step 1: Write the proportion equation
   102.56 : 225.38 = 225.38 : x
2. Step 2: Convert to fraction form
   102.56/225.38 = 225.38/x
3. Step 3: Cross multiply
   102.56x = 225.38 × 225.38
4. Step 4: Simplify right side
   102.56x = 50,793.89
5. Step 5: Solve for x
   x = 50,793.89/102.56
6. Step 6: Final answer
   x = 495.25