Finding the Third Proportional to 381,974.50 and 809,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,974.50 : 809,483.50 = 809,483.50 : x
2. Step 2: Convert to fraction form
   381,974.50/809,483.50 = 809,483.50/x
3. Step 3: Cross multiply
   381,974.50x = 809,483.50 × 809,483.50
4. Step 4: Simplify right side
   381,974.50x = 655,263,536,772.25
5. Step 5: Solve for x
   x = 655,263,536,772.25/381,974.50
6. Step 6: Final answer
   x = 1,715,464.09