Finding the Third Proportional to 123,675 and 271,089

Step by Step Solution

1. Step 1: Write the proportion equation
   123,675 : 271,089 = 271,089 : x
2. Step 2: Convert to fraction form
   123,675/271,089 = 271,089/x
3. Step 3: Cross multiply
   123,675x = 271,089 × 271,089
4. Step 4: Simplify right side
   123,675x = 73,489,245,921
5. Step 5: Solve for x
   x = 73,489,245,921/123,675
6. Step 6: Final answer
   x = 594,212.62