Finding the Third Proportional to 123,528 and 269,360

Step by Step Solution

1. Step 1: Write the proportion equation
   123,528 : 269,360 = 269,360 : x
2. Step 2: Convert to fraction form
   123,528/269,360 = 269,360/x
3. Step 3: Cross multiply
   123,528x = 269,360 × 269,360
4. Step 4: Simplify right side
   123,528x = 72,554,809,600
5. Step 5: Solve for x
   x = 72,554,809,600/123,528
6. Step 6: Final answer
   x = 587,355.17