Finding the Third Proportional to 442.69 and 664.31

Step by Step Solution

1. Step 1: Write the proportion equation
   442.69 : 664.31 = 664.31 : x
2. Step 2: Convert to fraction form
   442.69/664.31 = 664.31/x
3. Step 3: Cross multiply
   442.69x = 664.31 × 664.31
4. Step 4: Simplify right side
   442.69x = 441,311.10
5. Step 5: Solve for x
   x = 441,311.10/442.69
6. Step 6: Final answer
   x = 996.89