Finding the Third Proportional to 123,065 and 289,758

Step by Step Solution

1. Step 1: Write the proportion equation
   123,065 : 289,758 = 289,758 : x
2. Step 2: Convert to fraction form
   123,065/289,758 = 289,758/x
3. Step 3: Cross multiply
   123,065x = 289,758 × 289,758
4. Step 4: Simplify right side
   123,065x = 83,959,698,564
5. Step 5: Solve for x
   x = 83,959,698,564/123,065
6. Step 6: Final answer
   x = 682,238.64