Finding the Third Proportional to 147,156 and 317,626

Step by Step Solution

1. Step 1: Write the proportion equation
   147,156 : 317,626 = 317,626 : x
2. Step 2: Convert to fraction form
   147,156/317,626 = 317,626/x
3. Step 3: Cross multiply
   147,156x = 317,626 × 317,626
4. Step 4: Simplify right side
   147,156x = 100,886,275,876
5. Step 5: Solve for x
   x = 100,886,275,876/147,156
6. Step 6: Final answer
   x = 685,573.65