Finding the Third Proportional to 111.69 and 168.88

Step by Step Solution

1. Step 1: Write the proportion equation
   111.69 : 168.88 = 168.88 : x
2. Step 2: Convert to fraction form
   111.69/168.88 = 168.88/x
3. Step 3: Cross multiply
   111.69x = 168.88 × 168.88
4. Step 4: Simplify right side
   111.69x = 28,518.77
5. Step 5: Solve for x
   x = 28,518.77/111.69
6. Step 6: Final answer
   x = 255.34