Finding the Third Proportional to 255.98 and 384.23

Step by Step Solution

1. Step 1: Write the proportion equation
   255.98 : 384.23 = 384.23 : x
2. Step 2: Convert to fraction form
   255.98/384.23 = 384.23/x
3. Step 3: Cross multiply
   255.98x = 384.23 × 384.23
4. Step 4: Simplify right side
   255.98x = 147,636.05
5. Step 5: Solve for x
   x = 147,636.05/255.98
6. Step 6: Final answer
   x = 576.74