Finding the Third Proportional to 123,059 and 289,743

Step by Step Solution

1. Step 1: Write the proportion equation
   123,059 : 289,743 = 289,743 : x
2. Step 2: Convert to fraction form
   123,059/289,743 = 289,743/x
3. Step 3: Cross multiply
   123,059x = 289,743 × 289,743
4. Step 4: Simplify right side
   123,059x = 83,951,006,049
5. Step 5: Solve for x
   x = 83,951,006,049/123,059
6. Step 6: Final answer
   x = 682,201.27