Finding the Third Proportional to 171.38 and 256.88

Step by Step Solution

1. Step 1: Write the proportion equation
   171.38 : 256.88 = 256.88 : x
2. Step 2: Convert to fraction form
   171.38/256.88 = 256.88/x
3. Step 3: Cross multiply
   171.38x = 256.88 × 256.88
4. Step 4: Simplify right side
   171.38x = 65,984.77
5. Step 5: Solve for x
   x = 65,984.77/171.38
6. Step 6: Final answer
   x = 385.03