Finding the Third Proportional to 123,384 and 269,104

Step by Step Solution

1. Step 1: Write the proportion equation
   123,384 : 269,104 = 269,104 : x
2. Step 2: Convert to fraction form
   123,384/269,104 = 269,104/x
3. Step 3: Cross multiply
   123,384x = 269,104 × 269,104
4. Step 4: Simplify right side
   123,384x = 72,416,962,816
5. Step 5: Solve for x
   x = 72,416,962,816/123,384
6. Step 6: Final answer
   x = 586,923.45