Finding the Third Proportional to 419,568 and 645,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,568 : 645,280.50 = 645,280.50 : x
2. Step 2: Convert to fraction form
   419,568/645,280.50 = 645,280.50/x
3. Step 3: Cross multiply
   419,568x = 645,280.50 × 645,280.50
4. Step 4: Simplify right side
   419,568x = 416,386,923,680.25
5. Step 5: Solve for x
   x = 416,386,923,680.25/419,568
6. Step 6: Final answer
   x = 992,418.21