Finding the Third Proportional to 111.66 and 168.19

Step by Step Solution

1. Step 1: Write the proportion equation
   111.66 : 168.19 = 168.19 : x
2. Step 2: Convert to fraction form
   111.66/168.19 = 168.19/x
3. Step 3: Cross multiply
   111.66x = 168.19 × 168.19
4. Step 4: Simplify right side
   111.66x = 28,287.04
5. Step 5: Solve for x
   x = 28,287.04/111.66
6. Step 6: Final answer
   x = 253.34