Finding the Third Proportional to 186,932 and 405,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,932 : 405,413.50 = 405,413.50 : x
2. Step 2: Convert to fraction form
   186,932/405,413.50 = 405,413.50/x
3. Step 3: Cross multiply
   186,932x = 405,413.50 × 405,413.50
4. Step 4: Simplify right side
   186,932x = 164,360,105,982.25
5. Step 5: Solve for x
   x = 164,360,105,982.25/186,932
6. Step 6: Final answer
   x = 879,250.78