Finding the Third Proportional to 212,744 and 315,008

Step by Step Solution

1. Step 1: Write the proportion equation
   212,744 : 315,008 = 315,008 : x
2. Step 2: Convert to fraction form
   212,744/315,008 = 315,008/x
3. Step 3: Cross multiply
   212,744x = 315,008 × 315,008
4. Step 4: Simplify right side
   212,744x = 99,230,040,064
5. Step 5: Solve for x
   x = 99,230,040,064/212,744
6. Step 6: Final answer
   x = 466,429.32