Finding the Third Proportional to 204,320 and 317,172

Step by Step Solution

1. Step 1: Write the proportion equation
   204,320 : 317,172 = 317,172 : x
2. Step 2: Convert to fraction form
   204,320/317,172 = 317,172/x
3. Step 3: Cross multiply
   204,320x = 317,172 × 317,172
4. Step 4: Simplify right side
   204,320x = 100,598,077,584
5. Step 5: Solve for x
   x = 100,598,077,584/204,320
6. Step 6: Final answer
   x = 492,355.51