Finding the Third Proportional to 505.69 and 793.69

Step by Step Solution

1. Step 1: Write the proportion equation
   505.69 : 793.69 = 793.69 : x
2. Step 2: Convert to fraction form
   505.69/793.69 = 793.69/x
3. Step 3: Cross multiply
   505.69x = 793.69 × 793.69
4. Step 4: Simplify right side
   505.69x = 629,939.85
5. Step 5: Solve for x
   x = 629,939.85/505.69
6. Step 6: Final answer
   x = 1,245.71