Finding the Third Proportional to 123,828 and 271,392

Step by Step Solution

1. Step 1: Write the proportion equation
   123,828 : 271,392 = 271,392 : x
2. Step 2: Convert to fraction form
   123,828/271,392 = 271,392/x
3. Step 3: Cross multiply
   123,828x = 271,392 × 271,392
4. Step 4: Simplify right side
   123,828x = 73,653,617,664
5. Step 5: Solve for x
   x = 73,653,617,664/123,828
6. Step 6: Final answer
   x = 594,805.84