Finding the Third Proportional to 123,559 and 269,294

Step by Step Solution

1. Step 1: Write the proportion equation
   123,559 : 269,294 = 269,294 : x
2. Step 2: Convert to fraction form
   123,559/269,294 = 269,294/x
3. Step 3: Cross multiply
   123,559x = 269,294 × 269,294
4. Step 4: Simplify right side
   123,559x = 72,519,258,436
5. Step 5: Solve for x
   x = 72,519,258,436/123,559
6. Step 6: Final answer
   x = 586,920.08