Finding the Third Proportional to 102.88 and 171.69

Step by Step Solution

1. Step 1: Write the proportion equation
   102.88 : 171.69 = 171.69 : x
2. Step 2: Convert to fraction form
   102.88/171.69 = 171.69/x
3. Step 3: Cross multiply
   102.88x = 171.69 × 171.69
4. Step 4: Simplify right side
   102.88x = 29,476.60
5. Step 5: Solve for x
   x = 29,476.60/102.88
6. Step 6: Final answer
   x = 286.53