Finding the Third Proportional to 363.56 and 796.38

Step by Step Solution

1. Step 1: Write the proportion equation
   363.56 : 796.38 = 796.38 : x
2. Step 2: Convert to fraction form
   363.56/796.38 = 796.38/x
3. Step 3: Cross multiply
   363.56x = 796.38 × 796.38
4. Step 4: Simplify right side
   363.56x = 634,213.14
5. Step 5: Solve for x
   x = 634,213.14/363.56
6. Step 6: Final answer
   x = 1,744.44