Finding the Third Proportional to 114.75 and 166.69

Step by Step Solution

1. Step 1: Write the proportion equation
   114.75 : 166.69 = 166.69 : x
2. Step 2: Convert to fraction form
   114.75/166.69 = 166.69/x
3. Step 3: Cross multiply
   114.75x = 166.69 × 166.69
4. Step 4: Simplify right side
   114.75x = 27,784.72
5. Step 5: Solve for x
   x = 27,784.72/114.75
6. Step 6: Final answer
   x = 242.13