Finding the Third Proportional to 255.94 and 273.94

Step by Step Solution

1. Step 1: Write the proportion equation
   255.94 : 273.94 = 273.94 : x
2. Step 2: Convert to fraction form
   255.94/273.94 = 273.94/x
3. Step 3: Cross multiply
   255.94x = 273.94 × 273.94
4. Step 4: Simplify right side
   255.94x = 75,041.75
5. Step 5: Solve for x
   x = 75,041.75/255.94
6. Step 6: Final answer
   x = 293.20