Finding the Third Proportional to 123,819 and 271,373

Step by Step Solution

1. Step 1: Write the proportion equation
   123,819 : 271,373 = 271,373 : x
2. Step 2: Convert to fraction form
   123,819/271,373 = 271,373/x
3. Step 3: Cross multiply
   123,819x = 271,373 × 271,373
4. Step 4: Simplify right side
   123,819x = 73,643,305,129
5. Step 5: Solve for x
   x = 73,643,305,129/123,819
6. Step 6: Final answer
   x = 594,765.79