Finding the Third Proportional to 103.57 and 221.54

Step by Step Solution

1. Step 1: Write the proportion equation
   103.57 : 221.54 = 221.54 : x
2. Step 2: Convert to fraction form
   103.57/221.54 = 221.54/x
3. Step 3: Cross multiply
   103.57x = 221.54 × 221.54
4. Step 4: Simplify right side
   103.57x = 49,078.69
5. Step 5: Solve for x
   x = 49,078.69/103.57
6. Step 6: Final answer
   x = 473.87