Finding the Third Proportional to 123,894 and 271,512

Step by Step Solution

1. Step 1: Write the proportion equation
   123,894 : 271,512 = 271,512 : x
2. Step 2: Convert to fraction form
   123,894/271,512 = 271,512/x
3. Step 3: Cross multiply
   123,894x = 271,512 × 271,512
4. Step 4: Simplify right side
   123,894x = 73,718,766,144
5. Step 5: Solve for x
   x = 73,718,766,144/123,894
6. Step 6: Final answer
   x = 595,014.82