Finding the Third Proportional to 123,082 and 289,782

Step by Step Solution

1. Step 1: Write the proportion equation
   123,082 : 289,782 = 289,782 : x
2. Step 2: Convert to fraction form
   123,082/289,782 = 289,782/x
3. Step 3: Cross multiply
   123,082x = 289,782 × 289,782
4. Step 4: Simplify right side
   123,082x = 83,973,607,524
5. Step 5: Solve for x
   x = 83,973,607,524/123,082
6. Step 6: Final answer
   x = 682,257.42