Finding the Third Proportional to 321,426.50 and 684,474

Step by Step Solution

1. Step 1: Write the proportion equation
   321,426.50 : 684,474 = 684,474 : x
2. Step 2: Convert to fraction form
   321,426.50/684,474 = 684,474/x
3. Step 3: Cross multiply
   321,426.50x = 684,474 × 684,474
4. Step 4: Simplify right side
   321,426.50x = 468,504,656,676
5. Step 5: Solve for x
   x = 468,504,656,676/321,426.50
6. Step 6: Final answer
   x = 1,457,579.44