Finding the Third Proportional to 105.75 and 227.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 227.75 = 227.75 : x
2. Step 2: Convert to fraction form
   105.75/227.75 = 227.75/x
3. Step 3: Cross multiply
   105.75x = 227.75 × 227.75
4. Step 4: Simplify right side
   105.75x = 51,870.06
5. Step 5: Solve for x
   x = 51,870.06/105.75
6. Step 6: Final answer
   x = 490.50