Finding the Third Proportional to 283,647 and 419,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   283,647 : 419,863.50 = 419,863.50 : x
2. Step 2: Convert to fraction form
   283,647/419,863.50 = 419,863.50/x
3. Step 3: Cross multiply
   283,647x = 419,863.50 × 419,863.50
4. Step 4: Simplify right side
   283,647x = 176,285,358,632.25
5. Step 5: Solve for x
   x = 176,285,358,632.25/283,647
6. Step 6: Final answer
   x = 621,495.59