Finding the Third Proportional to 103.50 and 227.25

Step by Step Solution

1. Step 1: Write the proportion equation
   103.50 : 227.25 = 227.25 : x
2. Step 2: Convert to fraction form
   103.50/227.25 = 227.25/x
3. Step 3: Cross multiply
   103.50x = 227.25 × 227.25
4. Step 4: Simplify right side
   103.50x = 51,642.56
5. Step 5: Solve for x
   x = 51,642.56/103.50
6. Step 6: Final answer
   x = 498.96