Finding the Third Proportional to 384.43 and 508.31

Step by Step Solution

1. Step 1: Write the proportion equation
   384.43 : 508.31 = 508.31 : x
2. Step 2: Convert to fraction form
   384.43/508.31 = 508.31/x
3. Step 3: Cross multiply
   384.43x = 508.31 × 508.31
4. Step 4: Simplify right side
   384.43x = 258,375.64
5. Step 5: Solve for x
   x = 258,375.64/384.43
6. Step 6: Final answer
   x = 672.09