Finding the Third Proportional to 314.06 and 664.31

Step by Step Solution

1. Step 1: Write the proportion equation
   314.06 : 664.31 = 664.31 : x
2. Step 2: Convert to fraction form
   314.06/664.31 = 664.31/x
3. Step 3: Cross multiply
   314.06x = 664.31 × 664.31
4. Step 4: Simplify right side
   314.06x = 441,311.10
5. Step 5: Solve for x
   x = 441,311.10/314.06
6. Step 6: Final answer
   x = 1,405.17