Finding the Third Proportional to 102.56 and 224.81

Step by Step Solution

1. Step 1: Write the proportion equation
   102.56 : 224.81 = 224.81 : x
2. Step 2: Convert to fraction form
   102.56/224.81 = 224.81/x
3. Step 3: Cross multiply
   102.56x = 224.81 × 224.81
4. Step 4: Simplify right side
   102.56x = 50,540.66
5. Step 5: Solve for x
   x = 50,540.66/102.56
6. Step 6: Final answer
   x = 492.78