Finding the Third Proportional to 109.83 and 171.40

Step by Step Solution

1. Step 1: Write the proportion equation
   109.83 : 171.40 = 171.40 : x
2. Step 2: Convert to fraction form
   109.83/171.40 = 171.40/x
3. Step 3: Cross multiply
   109.83x = 171.40 × 171.40
4. Step 4: Simplify right side
   109.83x = 29,377.42
5. Step 5: Solve for x
   x = 29,377.42/109.83
6. Step 6: Final answer
   x = 267.49