Finding the Third Proportional to 123,578 and 269,810

Step by Step Solution

1. Step 1: Write the proportion equation
   123,578 : 269,810 = 269,810 : x
2. Step 2: Convert to fraction form
   123,578/269,810 = 269,810/x
3. Step 3: Cross multiply
   123,578x = 269,810 × 269,810
4. Step 4: Simplify right side
   123,578x = 72,797,436,100
5. Step 5: Solve for x
   x = 72,797,436,100/123,578
6. Step 6: Final answer
   x = 589,080.87