Finding the Third Proportional to 116.75 and 173.71

Step by Step Solution

1. Step 1: Write the proportion equation
   116.75 : 173.71 = 173.71 : x
2. Step 2: Convert to fraction form
   116.75/173.71 = 173.71/x
3. Step 3: Cross multiply
   116.75x = 173.71 × 173.71
4. Step 4: Simplify right side
   116.75x = 30,174.13
5. Step 5: Solve for x
   x = 30,174.13/116.75
6. Step 6: Final answer
   x = 258.44