Finding the Third Proportional to 145,542 and 200,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,542 : 200,413.50 = 200,413.50 : x
2. Step 2: Convert to fraction form
   145,542/200,413.50 = 200,413.50/x
3. Step 3: Cross multiply
   145,542x = 200,413.50 × 200,413.50
4. Step 4: Simplify right side
   145,542x = 40,165,570,982.25
5. Step 5: Solve for x
   x = 40,165,570,982.25/145,542
6. Step 6: Final answer
   x = 275,972.37