Finding the Third Proportional to 204,615 and 315,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,615 : 315,670.50 = 315,670.50 : x
2. Step 2: Convert to fraction form
   204,615/315,670.50 = 315,670.50/x
3. Step 3: Cross multiply
   204,615x = 315,670.50 × 315,670.50
4. Step 4: Simplify right side
   204,615x = 99,647,864,570.25
5. Step 5: Solve for x
   x = 99,647,864,570.25/204,615
6. Step 6: Final answer
   x = 487,001.76