Finding the Third Proportional to 105.75 and 179.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 179.38 = 179.38 : x
2. Step 2: Convert to fraction form
   105.75/179.38 = 179.38/x
3. Step 3: Cross multiply
   105.75x = 179.38 × 179.38
4. Step 4: Simplify right side
   105.75x = 32,175.39
5. Step 5: Solve for x
   x = 32,175.39/105.75
6. Step 6: Final answer
   x = 304.26