Finding the Third Proportional to 78,976 and 167,744

Step by Step Solution

1. Step 1: Write the proportion equation
   78,976 : 167,744 = 167,744 : x
2. Step 2: Convert to fraction form
   78,976/167,744 = 167,744/x
3. Step 3: Cross multiply
   78,976x = 167,744 × 167,744
4. Step 4: Simplify right side
   78,976x = 28,138,049,536
5. Step 5: Solve for x
   x = 28,138,049,536/78,976
6. Step 6: Final answer
   x = 356,286.08