Finding the Third Proportional to 123,582 and 271,227

Step by Step Solution

1. Step 1: Write the proportion equation
   123,582 : 271,227 = 271,227 : x
2. Step 2: Convert to fraction form
   123,582/271,227 = 271,227/x
3. Step 3: Cross multiply
   123,582x = 271,227 × 271,227
4. Step 4: Simplify right side
   123,582x = 73,564,085,529
5. Step 5: Solve for x
   x = 73,564,085,529/123,582
6. Step 6: Final answer
   x = 595,265.37