Finding the Third Proportional to 103.38 and 223.63

Step by Step Solution

1. Step 1: Write the proportion equation
   103.38 : 223.63 = 223.63 : x
2. Step 2: Convert to fraction form
   103.38/223.63 = 223.63/x
3. Step 3: Cross multiply
   103.38x = 223.63 × 223.63
4. Step 4: Simplify right side
   103.38x = 50,008.14
5. Step 5: Solve for x
   x = 50,008.14/103.38
6. Step 6: Final answer
   x = 483.75