Finding the Third Proportional to 255.94 and 364.78

Step by Step Solution

1. Step 1: Write the proportion equation
   255.94 : 364.78 = 364.78 : x
2. Step 2: Convert to fraction form
   255.94/364.78 = 364.78/x
3. Step 3: Cross multiply
   255.94x = 364.78 × 364.78
4. Step 4: Simplify right side
   255.94x = 133,065.36
5. Step 5: Solve for x
   x = 133,065.36/255.94
6. Step 6: Final answer
   x = 519.91