Finding the Third Proportional to 147,138 and 317,604

Step by Step Solution

1. Step 1: Write the proportion equation
   147,138 : 317,604 = 317,604 : x
2. Step 2: Convert to fraction form
   147,138/317,604 = 317,604/x
3. Step 3: Cross multiply
   147,138x = 317,604 × 317,604
4. Step 4: Simplify right side
   147,138x = 100,872,300,816
5. Step 5: Solve for x
   x = 100,872,300,816/147,138
6. Step 6: Final answer
   x = 685,562.54