Finding the Third Proportional to 396,838 and 567,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   396,838 : 567,259.50 = 567,259.50 : x
2. Step 2: Convert to fraction form
   396,838/567,259.50 = 567,259.50/x
3. Step 3: Cross multiply
   396,838x = 567,259.50 × 567,259.50
4. Step 4: Simplify right side
   396,838x = 321,783,340,340.25
5. Step 5: Solve for x
   x = 321,783,340,340.25/396,838
6. Step 6: Final answer
   x = 810,868.26