Finding the Third Proportional to 540.38 and 793.38

Step by Step Solution

1. Step 1: Write the proportion equation
   540.38 : 793.38 = 793.38 : x
2. Step 2: Convert to fraction form
   540.38/793.38 = 793.38/x
3. Step 3: Cross multiply
   540.38x = 793.38 × 793.38
4. Step 4: Simplify right side
   540.38x = 629,443.89
5. Step 5: Solve for x
   x = 629,443.89/540.38
6. Step 6: Final answer
   x = 1,164.83