Finding the Third Proportional to 122,826 and 260,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,826 : 260,413.50 = 260,413.50 : x
2. Step 2: Convert to fraction form
   122,826/260,413.50 = 260,413.50/x
3. Step 3: Cross multiply
   122,826x = 260,413.50 × 260,413.50
4. Step 4: Simplify right side
   122,826x = 67,815,190,982.25
5. Step 5: Solve for x
   x = 67,815,190,982.25/122,826
6. Step 6: Final answer
   x = 552,124.07