Finding the Third Proportional to 126.35 and 267.89

Step by Step Solution

1. Step 1: Write the proportion equation
   126.35 : 267.89 = 267.89 : x
2. Step 2: Convert to fraction form
   126.35/267.89 = 267.89/x
3. Step 3: Cross multiply
   126.35x = 267.89 × 267.89
4. Step 4: Simplify right side
   126.35x = 71,765.39
5. Step 5: Solve for x
   x = 71,765.39/126.35
6. Step 6: Final answer
   x = 567.98