Finding the Third Proportional to 49,970 and 106,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,970 : 106,413.50 = 106,413.50 : x
2. Step 2: Convert to fraction form
   49,970/106,413.50 = 106,413.50/x
3. Step 3: Cross multiply
   49,970x = 106,413.50 × 106,413.50
4. Step 4: Simplify right side
   49,970x = 11,323,832,982.25
5. Step 5: Solve for x
   x = 11,323,832,982.25/49,970
6. Step 6: Final answer
   x = 226,612.63