Finding the Third Proportional to 514.69 and 800.72

Step by Step Solution

1. Step 1: Write the proportion equation
   514.69 : 800.72 = 800.72 : x
2. Step 2: Convert to fraction form
   514.69/800.72 = 800.72/x
3. Step 3: Cross multiply
   514.69x = 800.72 × 800.72
4. Step 4: Simplify right side
   514.69x = 641,150.52
5. Step 5: Solve for x
   x = 641,150.52/514.69
6. Step 6: Final answer
   x = 1,245.71