Finding the Third Proportional to 204,866 and 320,665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   204,866 : 320,665.25 = 320,665.25 : x
2. Step 2: Convert to fraction form
   204,866/320,665.25 = 320,665.25/x
3. Step 3: Cross multiply
   204,866x = 320,665.25 × 320,665.25
4. Step 4: Simplify right side
   204,866x = 102,826,202,557.56
5. Step 5: Solve for x
   x = 102,826,202,557.56/204,866
6. Step 6: Final answer
   x = 501,919.32