Finding the Third Proportional to 258,671 and 386,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,671 : 386,413.50 = 386,413.50 : x
2. Step 2: Convert to fraction form
   258,671/386,413.50 = 386,413.50/x
3. Step 3: Cross multiply
   258,671x = 386,413.50 × 386,413.50
4. Step 4: Simplify right side
   258,671x = 149,315,392,982.25
5. Step 5: Solve for x
   x = 149,315,392,982.25/258,671
6. Step 6: Final answer
   x = 577,240.56