Finding the Third Proportional to 354.09 and 520.27

Step by Step Solution

1. Step 1: Write the proportion equation
   354.09 : 520.27 = 520.27 : x
2. Step 2: Convert to fraction form
   354.09/520.27 = 520.27/x
3. Step 3: Cross multiply
   354.09x = 520.27 × 520.27
4. Step 4: Simplify right side
   354.09x = 270,676.32
5. Step 5: Solve for x
   x = 270,676.32/354.09
6. Step 6: Final answer
   x = 764.42