Finding the Third Proportional to 275,256 and 425,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,256 : 425,413.50 = 425,413.50 : x
2. Step 2: Convert to fraction form
   275,256/425,413.50 = 425,413.50/x
3. Step 3: Cross multiply
   275,256x = 425,413.50 × 425,413.50
4. Step 4: Simplify right side
   275,256x = 180,976,645,982.25
5. Step 5: Solve for x
   x = 180,976,645,982.25/275,256
6. Step 6: Final answer
   x = 657,484.84