Finding the Third Proportional to 123,336 and 269,499

Step by Step Solution

1. Step 1: Write the proportion equation
   123,336 : 269,499 = 269,499 : x
2. Step 2: Convert to fraction form
   123,336/269,499 = 269,499/x
3. Step 3: Cross multiply
   123,336x = 269,499 × 269,499
4. Step 4: Simplify right side
   123,336x = 72,629,711,001
5. Step 5: Solve for x
   x = 72,629,711,001/123,336
6. Step 6: Final answer
   x = 588,876.82