Finding the Third Proportional to 204,317 and 317,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,317 : 317,167.50 = 317,167.50 : x
2. Step 2: Convert to fraction form
   204,317/317,167.50 = 317,167.50/x
3. Step 3: Cross multiply
   204,317x = 317,167.50 × 317,167.50
4. Step 4: Simplify right side
   204,317x = 100,595,223,056.25
5. Step 5: Solve for x
   x = 100,595,223,056.25/204,317
6. Step 6: Final answer
   x = 492,348.77