Finding the Third Proportional to 123,698 and 269,860

Step by Step Solution

1. Step 1: Write the proportion equation
   123,698 : 269,860 = 269,860 : x
2. Step 2: Convert to fraction form
   123,698/269,860 = 269,860/x
3. Step 3: Cross multiply
   123,698x = 269,860 × 269,860
4. Step 4: Simplify right side
   123,698x = 72,824,419,600
5. Step 5: Solve for x
   x = 72,824,419,600/123,698
6. Step 6: Final answer
   x = 588,727.54