Finding the Third Proportional to 105.75 and 227.53

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 227.53 = 227.53 : x
2. Step 2: Convert to fraction form
   105.75/227.53 = 227.53/x
3. Step 3: Cross multiply
   105.75x = 227.53 × 227.53
4. Step 4: Simplify right side
   105.75x = 51,770.47
5. Step 5: Solve for x
   x = 51,770.47/105.75
6. Step 6: Final answer
   x = 489.56