Finding the Third Proportional to 122,812 and 269,004

Step by Step Solution

1. Step 1: Write the proportion equation
   122,812 : 269,004 = 269,004 : x
2. Step 2: Convert to fraction form
   122,812/269,004 = 269,004/x
3. Step 3: Cross multiply
   122,812x = 269,004 × 269,004
4. Step 4: Simplify right side
   122,812x = 72,363,152,016
5. Step 5: Solve for x
   x = 72,363,152,016/122,812
6. Step 6: Final answer
   x = 589,218.90