Finding the Third Proportional to 123,411 and 269,664

Step by Step Solution

1. Step 1: Write the proportion equation
   123,411 : 269,664 = 269,664 : x
2. Step 2: Convert to fraction form
   123,411/269,664 = 269,664/x
3. Step 3: Cross multiply
   123,411x = 269,664 × 269,664
4. Step 4: Simplify right side
   123,411x = 72,718,672,896
5. Step 5: Solve for x
   x = 72,718,672,896/123,411
6. Step 6: Final answer
   x = 589,239.80