Finding the Third Proportional to 147,831 and 317,802

Step by Step Solution

1. Step 1: Write the proportion equation
   147,831 : 317,802 = 317,802 : x
2. Step 2: Convert to fraction form
   147,831/317,802 = 317,802/x
3. Step 3: Cross multiply
   147,831x = 317,802 × 317,802
4. Step 4: Simplify right side
   147,831x = 100,998,111,204
5. Step 5: Solve for x
   x = 100,998,111,204/147,831
6. Step 6: Final answer
   x = 683,199.81