Finding the Third Proportional to 71,540 and 154,256

Step by Step Solution

1. Step 1: Write the proportion equation
   71,540 : 154,256 = 154,256 : x
2. Step 2: Convert to fraction form
   71,540/154,256 = 154,256/x
3. Step 3: Cross multiply
   71,540x = 154,256 × 154,256
4. Step 4: Simplify right side
   71,540x = 23,794,913,536
5. Step 5: Solve for x
   x = 23,794,913,536/71,540
6. Step 6: Final answer
   x = 332,609.92