Finding the Third Proportional to 123,867 and 271,467

Step by Step Solution

1. Step 1: Write the proportion equation
   123,867 : 271,467 = 271,467 : x
2. Step 2: Convert to fraction form
   123,867/271,467 = 271,467/x
3. Step 3: Cross multiply
   123,867x = 271,467 × 271,467
4. Step 4: Simplify right side
   123,867x = 73,694,332,089
5. Step 5: Solve for x
   x = 73,694,332,089/123,867
6. Step 6: Final answer
   x = 594,947.26