Finding the Third Proportional to 187,969.50 and 410,238

Step by Step Solution

1. Step 1: Write the proportion equation
   187,969.50 : 410,238 = 410,238 : x
2. Step 2: Convert to fraction form
   187,969.50/410,238 = 410,238/x
3. Step 3: Cross multiply
   187,969.50x = 410,238 × 410,238
4. Step 4: Simplify right side
   187,969.50x = 168,295,216,644
5. Step 5: Solve for x
   x = 168,295,216,644/187,969.50
6. Step 6: Final answer
   x = 895,332.58