Finding the Third Proportional to 147,095 and 317,512

Step by Step Solution

1. Step 1: Write the proportion equation
   147,095 : 317,512 = 317,512 : x
2. Step 2: Convert to fraction form
   147,095/317,512 = 317,512/x
3. Step 3: Cross multiply
   147,095x = 317,512 × 317,512
4. Step 4: Simplify right side
   147,095x = 100,813,870,144
5. Step 5: Solve for x
   x = 100,813,870,144/147,095
6. Step 6: Final answer
   x = 685,365.72