Finding the Third Proportional to 514.69 and 851.34

Step by Step Solution

1. Step 1: Write the proportion equation
   514.69 : 851.34 = 851.34 : x
2. Step 2: Convert to fraction form
   514.69/851.34 = 851.34/x
3. Step 3: Cross multiply
   514.69x = 851.34 × 851.34
4. Step 4: Simplify right side
   514.69x = 724,786.18
5. Step 5: Solve for x
   x = 724,786.18/514.69
6. Step 6: Final answer
   x = 1,408.21