Finding the Third Proportional to 204,675 and 315,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,675 : 315,748.50 = 315,748.50 : x
2. Step 2: Convert to fraction form
   204,675/315,748.50 = 315,748.50/x
3. Step 3: Cross multiply
   204,675x = 315,748.50 × 315,748.50
4. Step 4: Simplify right side
   204,675x = 99,697,115,252.25
5. Step 5: Solve for x
   x = 99,697,115,252.25/204,675
6. Step 6: Final answer
   x = 487,099.62