Finding the Third Proportional to 123,597 and 269,838

Step by Step Solution

1. Step 1: Write the proportion equation
   123,597 : 269,838 = 269,838 : x
2. Step 2: Convert to fraction form
   123,597/269,838 = 269,838/x
3. Step 3: Cross multiply
   123,597x = 269,838 × 269,838
4. Step 4: Simplify right side
   123,597x = 72,812,546,244
5. Step 5: Solve for x
   x = 72,812,546,244/123,597
6. Step 6: Final answer
   x = 589,112.57