Finding the Third Proportional to 109.71 and 167.77

Step by Step Solution

1. Step 1: Write the proportion equation
   109.71 : 167.77 = 167.77 : x
2. Step 2: Convert to fraction form
   109.71/167.77 = 167.77/x
3. Step 3: Cross multiply
   109.71x = 167.77 × 167.77
4. Step 4: Simplify right side
   109.71x = 28,148.25
5. Step 5: Solve for x
   x = 28,148.25/109.71
6. Step 6: Final answer
   x = 256.56