Finding the Third Proportional to 85.75 and 176.71

Step by Step Solution

1. Step 1: Write the proportion equation
   85.75 : 176.71 = 176.71 : x
2. Step 2: Convert to fraction form
   85.75/176.71 = 176.71/x
3. Step 3: Cross multiply
   85.75x = 176.71 × 176.71
4. Step 4: Simplify right side
   85.75x = 31,227.45
5. Step 5: Solve for x
   x = 31,227.45/85.75
6. Step 6: Final answer
   x = 364.19