Finding the Third Proportional to 255.94 and 604.31

Step by Step Solution

1. Step 1: Write the proportion equation
   255.94 : 604.31 = 604.31 : x
2. Step 2: Convert to fraction form
   255.94/604.31 = 604.31/x
3. Step 3: Cross multiply
   255.94x = 604.31 × 604.31
4. Step 4: Simplify right side
   255.94x = 365,193.60
5. Step 5: Solve for x
   x = 365,193.60/255.94
6. Step 6: Final answer
   x = 1,426.89