Finding the Third Proportional to 123,660 and 269,244

Step by Step Solution

1. Step 1: Write the proportion equation
   123,660 : 269,244 = 269,244 : x
2. Step 2: Convert to fraction form
   123,660/269,244 = 269,244/x
3. Step 3: Cross multiply
   123,660x = 269,244 × 269,244
4. Step 4: Simplify right side
   123,660x = 72,492,331,536
5. Step 5: Solve for x
   x = 72,492,331,536/123,660
6. Step 6: Final answer
   x = 586,222.96