Finding the Third Proportional to 122,568 and 253,008

Step by Step Solution

1. Step 1: Write the proportion equation
   122,568 : 253,008 = 253,008 : x
2. Step 2: Convert to fraction form
   122,568/253,008 = 253,008/x
3. Step 3: Cross multiply
   122,568x = 253,008 × 253,008
4. Step 4: Simplify right side
   122,568x = 64,013,048,064
5. Step 5: Solve for x
   x = 64,013,048,064/122,568
6. Step 6: Final answer
   x = 522,265.58