Finding the Third Proportional to 105.57 and 160.42

Step by Step Solution

1. Step 1: Write the proportion equation
   105.57 : 160.42 = 160.42 : x
2. Step 2: Convert to fraction form
   105.57/160.42 = 160.42/x
3. Step 3: Cross multiply
   105.57x = 160.42 × 160.42
4. Step 4: Simplify right side
   105.57x = 25,733.92
5. Step 5: Solve for x
   x = 25,733.92/105.57
6. Step 6: Final answer
   x = 243.75