Finding the Third Proportional to 109.69 and 167.06

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 167.06 = 167.06 : x
2. Step 2: Convert to fraction form
   109.69/167.06 = 167.06/x
3. Step 3: Cross multiply
   109.69x = 167.06 × 167.06
4. Step 4: Simplify right side
   109.69x = 27,909.88
5. Step 5: Solve for x
   x = 27,909.88/109.69
6. Step 6: Final answer
   x = 254.45