Finding the Third Proportional to 123,574 and 269,798

Step by Step Solution

1. Step 1: Write the proportion equation
   123,574 : 269,798 = 269,798 : x
2. Step 2: Convert to fraction form
   123,574/269,798 = 269,798/x
3. Step 3: Cross multiply
   123,574x = 269,798 × 269,798
4. Step 4: Simplify right side
   123,574x = 72,790,960,804
5. Step 5: Solve for x
   x = 72,790,960,804/123,574
6. Step 6: Final answer
   x = 589,047.54