Finding the Third Proportional to 116.75 and 167.54

Step by Step Solution

1. Step 1: Write the proportion equation
   116.75 : 167.54 = 167.54 : x
2. Step 2: Convert to fraction form
   116.75/167.54 = 167.54/x
3. Step 3: Cross multiply
   116.75x = 167.54 × 167.54
4. Step 4: Simplify right side
   116.75x = 28,068.68
5. Step 5: Solve for x
   x = 28,068.68/116.75
6. Step 6: Final answer
   x = 240.41