Finding the Third Proportional to 123,335 and 269,498

Step by Step Solution

1. Step 1: Write the proportion equation
   123,335 : 269,498 = 269,498 : x
2. Step 2: Convert to fraction form
   123,335/269,498 = 269,498/x
3. Step 3: Cross multiply
   123,335x = 269,498 × 269,498
4. Step 4: Simplify right side
   123,335x = 72,629,172,004
5. Step 5: Solve for x
   x = 72,629,172,004/123,335
6. Step 6: Final answer
   x = 588,877.22