Finding the Third Proportional to 321,996 and 510,606

Step by Step Solution

1. Step 1: Write the proportion equation
   321,996 : 510,606 = 510,606 : x
2. Step 2: Convert to fraction form
   321,996/510,606 = 510,606/x
3. Step 3: Cross multiply
   321,996x = 510,606 × 510,606
4. Step 4: Simplify right side
   321,996x = 260,718,487,236
5. Step 5: Solve for x
   x = 260,718,487,236/321,996
6. Step 6: Final answer
   x = 809,694.80