Finding the Third Proportional to 123,589 and 269,830

Step by Step Solution

1. Step 1: Write the proportion equation
   123,589 : 269,830 = 269,830 : x
2. Step 2: Convert to fraction form
   123,589/269,830 = 269,830/x
3. Step 3: Cross multiply
   123,589x = 269,830 × 269,830
4. Step 4: Simplify right side
   123,589x = 72,808,228,900
5. Step 5: Solve for x
   x = 72,808,228,900/123,589
6. Step 6: Final answer
   x = 589,115.77