Finding the Third Proportional to 518 and 792.69

Step by Step Solution

1. Step 1: Write the proportion equation
   518 : 792.69 = 792.69 : x
2. Step 2: Convert to fraction form
   518/792.69 = 792.69/x
3. Step 3: Cross multiply
   518x = 792.69 × 792.69
4. Step 4: Simplify right side
   518x = 628,353.47
5. Step 5: Solve for x
   x = 628,353.47/518
6. Step 6: Final answer
   x = 1,213.04