Finding the Third Proportional to 255.75 and 358.69

Step by Step Solution

1. Step 1: Write the proportion equation
   255.75 : 358.69 = 358.69 : x
2. Step 2: Convert to fraction form
   255.75/358.69 = 358.69/x
3. Step 3: Cross multiply
   255.75x = 358.69 × 358.69
4. Step 4: Simplify right side
   255.75x = 128,656.72
5. Step 5: Solve for x
   x = 128,656.72/255.75
6. Step 6: Final answer
   x = 503.06