Finding the Third Proportional to 109,608 and 164,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,608 : 164,413.50 = 164,413.50 : x
2. Step 2: Convert to fraction form
   109,608/164,413.50 = 164,413.50/x
3. Step 3: Cross multiply
   109,608x = 164,413.50 × 164,413.50
4. Step 4: Simplify right side
   109,608x = 27,031,798,982.25
5. Step 5: Solve for x
   x = 27,031,798,982.25/109,608
6. Step 6: Final answer
   x = 246,622.50