Finding the Third Proportional to 187,609.50 and 410,778

Step by Step Solution

1. Step 1: Write the proportion equation
   187,609.50 : 410,778 = 410,778 : x
2. Step 2: Convert to fraction form
   187,609.50/410,778 = 410,778/x
3. Step 3: Cross multiply
   187,609.50x = 410,778 × 410,778
4. Step 4: Simplify right side
   187,609.50x = 168,738,565,284
5. Step 5: Solve for x
   x = 168,738,565,284/187,609.50
6. Step 6: Final answer
   x = 899,413.76