Finding the Third Proportional to 389,812 and 583,150

Step by Step Solution

1. Step 1: Write the proportion equation
   389,812 : 583,150 = 583,150 : x
2. Step 2: Convert to fraction form
   389,812/583,150 = 583,150/x
3. Step 3: Cross multiply
   389,812x = 583,150 × 583,150
4. Step 4: Simplify right side
   389,812x = 340,063,922,500
5. Step 5: Solve for x
   x = 340,063,922,500/389,812
6. Step 6: Final answer
   x = 872,379.31