Finding the Third Proportional to 123,886 and 269,914

Step by Step Solution

1. Step 1: Write the proportion equation
   123,886 : 269,914 = 269,914 : x
2. Step 2: Convert to fraction form
   123,886/269,914 = 269,914/x
3. Step 3: Cross multiply
   123,886x = 269,914 × 269,914
4. Step 4: Simplify right side
   123,886x = 72,853,567,396
5. Step 5: Solve for x
   x = 72,853,567,396/123,886
6. Step 6: Final answer
   x = 588,069.41