Finding the Third Proportional to 126.14 and 301.43

Step by Step Solution

1. Step 1: Write the proportion equation
   126.14 : 301.43 = 301.43 : x
2. Step 2: Convert to fraction form
   126.14/301.43 = 301.43/x
3. Step 3: Cross multiply
   126.14x = 301.43 × 301.43
4. Step 4: Simplify right side
   126.14x = 90,859.86
5. Step 5: Solve for x
   x = 90,859.86/126.14
6. Step 6: Final answer
   x = 720.31