Finding the Third Proportional to 200,853 and 275,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,853 : 275,413.50 = 275,413.50 : x
2. Step 2: Convert to fraction form
   200,853/275,413.50 = 275,413.50/x
3. Step 3: Cross multiply
   200,853x = 275,413.50 × 275,413.50
4. Step 4: Simplify right side
   200,853x = 75,852,595,982.25
5. Step 5: Solve for x
   x = 75,852,595,982.25/200,853
6. Step 6: Final answer
   x = 377,652.29