Finding the Third Proportional to 123,635 and 269,919

Step by Step Solution

1. Step 1: Write the proportion equation
   123,635 : 269,919 = 269,919 : x
2. Step 2: Convert to fraction form
   123,635/269,919 = 269,919/x
3. Step 3: Cross multiply
   123,635x = 269,919 × 269,919
4. Step 4: Simplify right side
   123,635x = 72,856,266,561
5. Step 5: Solve for x
   x = 72,856,266,561/123,635
6. Step 6: Final answer
   x = 589,285.13