Finding the Third Proportional to 146,914 and 317,150

Step by Step Solution

1. Step 1: Write the proportion equation
   146,914 : 317,150 = 317,150 : x
2. Step 2: Convert to fraction form
   146,914/317,150 = 317,150/x
3. Step 3: Cross multiply
   146,914x = 317,150 × 317,150
4. Step 4: Simplify right side
   146,914x = 100,584,122,500
5. Step 5: Solve for x
   x = 100,584,122,500/146,914
6. Step 6: Final answer
   x = 684,646.27