Finding the Third Proportional to 514.50 and 819.56

Step by Step Solution

1. Step 1: Write the proportion equation
   514.50 : 819.56 = 819.56 : x
2. Step 2: Convert to fraction form
   514.50/819.56 = 819.56/x
3. Step 3: Cross multiply
   514.50x = 819.56 × 819.56
4. Step 4: Simplify right side
   514.50x = 671,682.69
5. Step 5: Solve for x
   x = 671,682.69/514.50
6. Step 6: Final answer
   x = 1,305.51