Finding the Third Proportional to 109.78 and 171.33

Step by Step Solution

1. Step 1: Write the proportion equation
   109.78 : 171.33 = 171.33 : x
2. Step 2: Convert to fraction form
   109.78/171.33 = 171.33/x
3. Step 3: Cross multiply
   109.78x = 171.33 × 171.33
4. Step 4: Simplify right side
   109.78x = 29,353.33
5. Step 5: Solve for x
   x = 29,353.33/109.78
6. Step 6: Final answer
   x = 267.38