Finding the Third Proportional to 123,019 and 269,014

Step by Step Solution

1. Step 1: Write the proportion equation
   123,019 : 269,014 = 269,014 : x
2. Step 2: Convert to fraction form
   123,019/269,014 = 269,014/x
3. Step 3: Cross multiply
   123,019x = 269,014 × 269,014
4. Step 4: Simplify right side
   123,019x = 72,368,532,196
5. Step 5: Solve for x
   x = 72,368,532,196/123,019
6. Step 6: Final answer
   x = 588,271.18