Finding the Third Proportional to 42,464 and 88,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,464 : 88,413.50 = 88,413.50 : x
2. Step 2: Convert to fraction form
   42,464/88,413.50 = 88,413.50/x
3. Step 3: Cross multiply
   42,464x = 88,413.50 × 88,413.50
4. Step 4: Simplify right side
   42,464x = 7,816,946,982.25
5. Step 5: Solve for x
   x = 7,816,946,982.25/42,464
6. Step 6: Final answer
   x = 184,084.09