Finding the Third Proportional to 109.69 and 167.44

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 167.44 = 167.44 : x
2. Step 2: Convert to fraction form
   109.69/167.44 = 167.44/x
3. Step 3: Cross multiply
   109.69x = 167.44 × 167.44
4. Step 4: Simplify right side
   109.69x = 28,035.32
5. Step 5: Solve for x
   x = 28,035.32/109.69
6. Step 6: Final answer
   x = 255.59