Finding the Third Proportional to 255.75 and 341.81

Step by Step Solution

1. Step 1: Write the proportion equation
   255.75 : 341.81 = 341.81 : x
2. Step 2: Convert to fraction form
   255.75/341.81 = 341.81/x
3. Step 3: Cross multiply
   255.75x = 341.81 × 341.81
4. Step 4: Simplify right side
   255.75x = 116,835.79
5. Step 5: Solve for x
   x = 116,835.79/255.75
6. Step 6: Final answer
   x = 456.84