Finding the Third Proportional to 186,337 and 263,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,337 : 263,413.50 = 263,413.50 : x
2. Step 2: Convert to fraction form
   186,337/263,413.50 = 263,413.50/x
3. Step 3: Cross multiply
   186,337x = 263,413.50 × 263,413.50
4. Step 4: Simplify right side
   186,337x = 69,386,671,982.25
5. Step 5: Solve for x
   x = 69,386,671,982.25/186,337
6. Step 6: Final answer
   x = 372,371.95