Finding the Third Proportional to 204,296 and 317,066

Step by Step Solution

1. Step 1: Write the proportion equation
   204,296 : 317,066 = 317,066 : x
2. Step 2: Convert to fraction form
   204,296/317,066 = 317,066/x
3. Step 3: Cross multiply
   204,296x = 317,066 × 317,066
4. Step 4: Simplify right side
   204,296x = 100,530,848,356
5. Step 5: Solve for x
   x = 100,530,848,356/204,296
6. Step 6: Final answer
   x = 492,084.27