Finding the Third Proportional to 389,838 and 583,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   389,838 : 583,171.50 = 583,171.50 : x
2. Step 2: Convert to fraction form
   389,838/583,171.50 = 583,171.50/x
3. Step 3: Cross multiply
   389,838x = 583,171.50 × 583,171.50
4. Step 4: Simplify right side
   389,838x = 340,088,998,412.25
5. Step 5: Solve for x
   x = 340,088,998,412.25/389,838
6. Step 6: Final answer
   x = 872,385.45