Finding the Third Proportional to 103.25 and 223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   103.25 : 223.25 = 223.25 : x
2. Step 2: Convert to fraction form
   103.25/223.25 = 223.25/x
3. Step 3: Cross multiply
   103.25x = 223.25 × 223.25
4. Step 4: Simplify right side
   103.25x = 49,840.56
5. Step 5: Solve for x
   x = 49,840.56/103.25
6. Step 6: Final answer
   x = 482.72