Finding the Third Proportional to 123,342 and 269,510

Step by Step Solution

1. Step 1: Write the proportion equation
   123,342 : 269,510 = 269,510 : x
2. Step 2: Convert to fraction form
   123,342/269,510 = 269,510/x
3. Step 3: Cross multiply
   123,342x = 269,510 × 269,510
4. Step 4: Simplify right side
   123,342x = 72,635,640,100
5. Step 5: Solve for x
   x = 72,635,640,100/123,342
6. Step 6: Final answer
   x = 588,896.24