Finding the Third Proportional to 255.69 and 339.94

Step by Step Solution

1. Step 1: Write the proportion equation
   255.69 : 339.94 = 339.94 : x
2. Step 2: Convert to fraction form
   255.69/339.94 = 339.94/x
3. Step 3: Cross multiply
   255.69x = 339.94 × 339.94
4. Step 4: Simplify right side
   255.69x = 115,557.50
5. Step 5: Solve for x
   x = 115,557.50/255.69
6. Step 6: Final answer
   x = 451.95