Finding the Third Proportional to 207,783 and 322,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   207,783 : 322,366.50 = 322,366.50 : x
2. Step 2: Convert to fraction form
   207,783/322,366.50 = 322,366.50/x
3. Step 3: Cross multiply
   207,783x = 322,366.50 × 322,366.50
4. Step 4: Simplify right side
   207,783x = 103,920,160,322.25
5. Step 5: Solve for x
   x = 103,920,160,322.25/207,783
6. Step 6: Final answer
   x = 500,137.93