Finding the Third Proportional to 209,784 and 322,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,784 : 322,639.50 = 322,639.50 : x
2. Step 2: Convert to fraction form
   209,784/322,639.50 = 322,639.50/x
3. Step 3: Cross multiply
   209,784x = 322,639.50 × 322,639.50
4. Step 4: Simplify right side
   209,784x = 104,096,246,960.25
5. Step 5: Solve for x
   x = 104,096,246,960.25/209,784
6. Step 6: Final answer
   x = 496,206.80