Finding the Third Proportional to 126.72 and 273.22

Step by Step Solution

1. Step 1: Write the proportion equation
   126.72 : 273.22 = 273.22 : x
2. Step 2: Convert to fraction form
   126.72/273.22 = 273.22/x
3. Step 3: Cross multiply
   126.72x = 273.22 × 273.22
4. Step 4: Simplify right side
   126.72x = 74,647.42
5. Step 5: Solve for x
   x = 74,647.42/126.72
6. Step 6: Final answer
   x = 589.07