Finding the Third Proportional to 111.19 and 166.31

Step by Step Solution

1. Step 1: Write the proportion equation
   111.19 : 166.31 = 166.31 : x
2. Step 2: Convert to fraction form
   111.19/166.31 = 166.31/x
3. Step 3: Cross multiply
   111.19x = 166.31 × 166.31
4. Step 4: Simplify right side
   111.19x = 27,659.85
5. Step 5: Solve for x
   x = 27,659.85/111.19
6. Step 6: Final answer
   x = 248.77