Finding the Third Proportional to 187,936 and 394,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,936 : 394,324.50 = 394,324.50 : x
2. Step 2: Convert to fraction form
   187,936/394,324.50 = 394,324.50/x
3. Step 3: Cross multiply
   187,936x = 394,324.50 × 394,324.50
4. Step 4: Simplify right side
   187,936x = 155,491,811,300.25
5. Step 5: Solve for x
   x = 155,491,811,300.25/187,936
6. Step 6: Final answer
   x = 827,365.76