Finding the Third Proportional to 89,001 and 194,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,001 : 194,413.50 = 194,413.50 : x
2. Step 2: Convert to fraction form
   89,001/194,413.50 = 194,413.50/x
3. Step 3: Cross multiply
   89,001x = 194,413.50 × 194,413.50
4. Step 4: Simplify right side
   89,001x = 37,796,608,982.25
5. Step 5: Solve for x
   x = 37,796,608,982.25/89,001
6. Step 6: Final answer
   x = 424,676.23