Finding the Third Proportional to 105.75 and 173.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 173.38 = 173.38 : x
2. Step 2: Convert to fraction form
   105.75/173.38 = 173.38/x
3. Step 3: Cross multiply
   105.75x = 173.38 × 173.38
4. Step 4: Simplify right side
   105.75x = 30,058.89
5. Step 5: Solve for x
   x = 30,058.89/105.75
6. Step 6: Final answer
   x = 284.24