Finding the Third Proportional to 102.56 and 233.81

Step by Step Solution

1. Step 1: Write the proportion equation
   102.56 : 233.81 = 233.81 : x
2. Step 2: Convert to fraction form
   102.56/233.81 = 233.81/x
3. Step 3: Cross multiply
   102.56x = 233.81 × 233.81
4. Step 4: Simplify right side
   102.56x = 54,668.29
5. Step 5: Solve for x
   x = 54,668.29/102.56
6. Step 6: Final answer
   x = 533.02