Finding the Third Proportional to 102.56 and 171.94

Step by Step Solution

1. Step 1: Write the proportion equation
   102.56 : 171.94 = 171.94 : x
2. Step 2: Convert to fraction form
   102.56/171.94 = 171.94/x
3. Step 3: Cross multiply
   102.56x = 171.94 × 171.94
4. Step 4: Simplify right side
   102.56x = 29,562.50
5. Step 5: Solve for x
   x = 29,562.50/102.56
6. Step 6: Final answer
   x = 288.24