Finding the Third Proportional to 147,389 and 315,496

Step by Step Solution

1. Step 1: Write the proportion equation
   147,389 : 315,496 = 315,496 : x
2. Step 2: Convert to fraction form
   147,389/315,496 = 315,496/x
3. Step 3: Cross multiply
   147,389x = 315,496 × 315,496
4. Step 4: Simplify right side
   147,389x = 99,537,726,016
5. Step 5: Solve for x
   x = 99,537,726,016/147,389
6. Step 6: Final answer
   x = 675,340.26