Finding the Third Proportional to 514.50 and 851.06

Step by Step Solution

1. Step 1: Write the proportion equation
   514.50 : 851.06 = 851.06 : x
2. Step 2: Convert to fraction form
   514.50/851.06 = 851.06/x
3. Step 3: Cross multiply
   514.50x = 851.06 × 851.06
4. Step 4: Simplify right side
   514.50x = 724,307.38
5. Step 5: Solve for x
   x = 724,307.38/514.50
6. Step 6: Final answer
   x = 1,407.79