Finding the Third Proportional to 140.96 and 171.57

Step by Step Solution

1. Step 1: Write the proportion equation
   140.96 : 171.57 = 171.57 : x
2. Step 2: Convert to fraction form
   140.96/171.57 = 171.57/x
3. Step 3: Cross multiply
   140.96x = 171.57 × 171.57
4. Step 4: Simplify right side
   140.96x = 29,436.71
5. Step 5: Solve for x
   x = 29,436.71/140.96
6. Step 6: Final answer
   x = 208.83