Finding the Third Proportional to 122,816 and 269,012

Step by Step Solution

1. Step 1: Write the proportion equation
   122,816 : 269,012 = 269,012 : x
2. Step 2: Convert to fraction form
   122,816/269,012 = 269,012/x
3. Step 3: Cross multiply
   122,816x = 269,012 × 269,012
4. Step 4: Simplify right side
   122,816x = 72,367,456,144
5. Step 5: Solve for x
   x = 72,367,456,144/122,816
6. Step 6: Final answer
   x = 589,234.76