Finding the Third Proportional to 126.38 and 223.94

Step by Step Solution

1. Step 1: Write the proportion equation
   126.38 : 223.94 = 223.94 : x
2. Step 2: Convert to fraction form
   126.38/223.94 = 223.94/x
3. Step 3: Cross multiply
   126.38x = 223.94 × 223.94
4. Step 4: Simplify right side
   126.38x = 50,148.00
5. Step 5: Solve for x
   x = 50,148.00/126.38
6. Step 6: Final answer
   x = 396.82