Finding the Third Proportional to 123,016 and 269,504

Step by Step Solution

1. Step 1: Write the proportion equation
   123,016 : 269,504 = 269,504 : x
2. Step 2: Convert to fraction form
   123,016/269,504 = 269,504/x
3. Step 3: Cross multiply
   123,016x = 269,504 × 269,504
4. Step 4: Simplify right side
   123,016x = 72,632,406,016
5. Step 5: Solve for x
   x = 72,632,406,016/123,016
6. Step 6: Final answer
   x = 590,430.56