Finding the Third Proportional to 204,759 and 323,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,759 : 323,768.50 = 323,768.50 : x
2. Step 2: Convert to fraction form
   204,759/323,768.50 = 323,768.50/x
3. Step 3: Cross multiply
   204,759x = 323,768.50 × 323,768.50
4. Step 4: Simplify right side
   204,759x = 104,826,041,592.25
5. Step 5: Solve for x
   x = 104,826,041,592.25/204,759
6. Step 6: Final answer
   x = 511,948.40