Finding the Third Proportional to 81,891 and 123,413.63

Step by Step Solution

1. Step 1: Write the proportion equation
   81,891 : 123,413.63 = 123,413.63 : x
2. Step 2: Convert to fraction form
   81,891/123,413.63 = 123,413.63/x
3. Step 3: Cross multiply
   81,891x = 123,413.63 × 123,413.63
4. Step 4: Simplify right side
   81,891x = 15,230,922,835.64
5. Step 5: Solve for x
   x = 15,230,922,835.64/81,891
6. Step 6: Final answer
   x = 185,990.19