Finding the Third Proportional to 35,385 and 83,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,385 : 83,413.50 = 83,413.50 : x
2. Step 2: Convert to fraction form
   35,385/83,413.50 = 83,413.50/x
3. Step 3: Cross multiply
   35,385x = 83,413.50 × 83,413.50
4. Step 4: Simplify right side
   35,385x = 6,957,811,982.25
5. Step 5: Solve for x
   x = 6,957,811,982.25/35,385
6. Step 6: Final answer
   x = 196,631.68