Finding the Third Proportional to 212,816 and 315,096

Step by Step Solution

1. Step 1: Write the proportion equation
   212,816 : 315,096 = 315,096 : x
2. Step 2: Convert to fraction form
   212,816/315,096 = 315,096/x
3. Step 3: Cross multiply
   212,816x = 315,096 × 315,096
4. Step 4: Simplify right side
   212,816x = 99,285,489,216
5. Step 5: Solve for x
   x = 99,285,489,216/212,816
6. Step 6: Final answer
   x = 466,532.07