Finding the Third Proportional to 123,540 and 269,739

Step by Step Solution

1. Step 1: Write the proportion equation
   123,540 : 269,739 = 269,739 : x
2. Step 2: Convert to fraction form
   123,540/269,739 = 269,739/x
3. Step 3: Cross multiply
   123,540x = 269,739 × 269,739
4. Step 4: Simplify right side
   123,540x = 72,759,128,121
5. Step 5: Solve for x
   x = 72,759,128,121/123,540
6. Step 6: Final answer
   x = 588,951.98