Finding the Third Proportional to 109.31 and 255.75

Step by Step Solution

1. Step 1: Write the proportion equation
   109.31 : 255.75 = 255.75 : x
2. Step 2: Convert to fraction form
   109.31/255.75 = 255.75/x
3. Step 3: Cross multiply
   109.31x = 255.75 × 255.75
4. Step 4: Simplify right side
   109.31x = 65,408.06
5. Step 5: Solve for x
   x = 65,408.06/109.31
6. Step 6: Final answer
   x = 598.36