Finding the Third Proportional to 303.56 and 664.31

Step by Step Solution

1. Step 1: Write the proportion equation
   303.56 : 664.31 = 664.31 : x
2. Step 2: Convert to fraction form
   303.56/664.31 = 664.31/x
3. Step 3: Cross multiply
   303.56x = 664.31 × 664.31
4. Step 4: Simplify right side
   303.56x = 441,311.10
5. Step 5: Solve for x
   x = 441,311.10/303.56
6. Step 6: Final answer
   x = 1,453.77