Finding the Third Proportional to 355.50 and 520.31

Step by Step Solution

1. Step 1: Write the proportion equation
   355.50 : 520.31 = 520.31 : x
2. Step 2: Convert to fraction form
   355.50/520.31 = 520.31/x
3. Step 3: Cross multiply
   355.50x = 520.31 × 520.31
4. Step 4: Simplify right side
   355.50x = 270,725.10
5. Step 5: Solve for x
   x = 270,725.10/355.50
6. Step 6: Final answer
   x = 761.53