Finding the Third Proportional to 147,096 and 317,516

Step by Step Solution

1. Step 1: Write the proportion equation
   147,096 : 317,516 = 317,516 : x
2. Step 2: Convert to fraction form
   147,096/317,516 = 317,516/x
3. Step 3: Cross multiply
   147,096x = 317,516 × 317,516
4. Step 4: Simplify right side
   147,096x = 100,816,410,256
5. Step 5: Solve for x
   x = 100,816,410,256/147,096
6. Step 6: Final answer
   x = 685,378.33