Finding the Third Proportional to 147,814 and 317,771

Step by Step Solution

1. Step 1: Write the proportion equation
   147,814 : 317,771 = 317,771 : x
2. Step 2: Convert to fraction form
   147,814/317,771 = 317,771/x
3. Step 3: Cross multiply
   147,814x = 317,771 × 317,771
4. Step 4: Simplify right side
   147,814x = 100,978,408,441
5. Step 5: Solve for x
   x = 100,978,408,441/147,814
6. Step 6: Final answer
   x = 683,145.09