Finding the Third Proportional to 212,832 and 317,400.75

Step by Step Solution

1. Step 1: Write the proportion equation
   212,832 : 317,400.75 = 317,400.75 : x
2. Step 2: Convert to fraction form
   212,832/317,400.75 = 317,400.75/x
3. Step 3: Cross multiply
   212,832x = 317,400.75 × 317,400.75
4. Step 4: Simplify right side
   212,832x = 100,743,236,100.56
5. Step 5: Solve for x
   x = 100,743,236,100.56/212,832
6. Step 6: Final answer
   x = 473,346.28