Finding the Third Proportional to 123,586 and 269,825

Step by Step Solution

1. Step 1: Write the proportion equation
   123,586 : 269,825 = 269,825 : x
2. Step 2: Convert to fraction form
   123,586/269,825 = 269,825/x
3. Step 3: Cross multiply
   123,586x = 269,825 × 269,825
4. Step 4: Simplify right side
   123,586x = 72,805,530,625
5. Step 5: Solve for x
   x = 72,805,530,625/123,586
6. Step 6: Final answer
   x = 589,108.24