Finding the Third Proportional to 187,500 and 410,616

Step by Step Solution

1. Step 1: Write the proportion equation
   187,500 : 410,616 = 410,616 : x
2. Step 2: Convert to fraction form
   187,500/410,616 = 410,616/x
3. Step 3: Cross multiply
   187,500x = 410,616 × 410,616
4. Step 4: Simplify right side
   187,500x = 168,605,499,456
5. Step 5: Solve for x
   x = 168,605,499,456/187,500
6. Step 6: Final answer
   x = 899,229.33