Finding the Third Proportional to 363.38 and 525.38

Step by Step Solution

1. Step 1: Write the proportion equation
   363.38 : 525.38 = 525.38 : x
2. Step 2: Convert to fraction form
   363.38/525.38 = 525.38/x
3. Step 3: Cross multiply
   363.38x = 525.38 × 525.38
4. Step 4: Simplify right side
   363.38x = 276,018.89
5. Step 5: Solve for x
   x = 276,018.89/363.38
6. Step 6: Final answer
   x = 759.60