Finding the Third Proportional to 123,876 and 271,812

Step by Step Solution

1. Step 1: Write the proportion equation
   123,876 : 271,812 = 271,812 : x
2. Step 2: Convert to fraction form
   123,876/271,812 = 271,812/x
3. Step 3: Cross multiply
   123,876x = 271,812 × 271,812
4. Step 4: Simplify right side
   123,876x = 73,881,763,344
5. Step 5: Solve for x
   x = 73,881,763,344/123,876
6. Step 6: Final answer
   x = 596,417.09