Finding the Third Proportional to 123,398 and 270,367

Step by Step Solution

1. Step 1: Write the proportion equation
   123,398 : 270,367 = 270,367 : x
2. Step 2: Convert to fraction form
   123,398/270,367 = 270,367/x
3. Step 3: Cross multiply
   123,398x = 270,367 × 270,367
4. Step 4: Simplify right side
   123,398x = 73,098,314,689
5. Step 5: Solve for x
   x = 73,098,314,689/123,398
6. Step 6: Final answer
   x = 592,378.44