Finding the Third Proportional to 122,476 and 256,016

Step by Step Solution

1. Step 1: Write the proportion equation
   122,476 : 256,016 = 256,016 : x
2. Step 2: Convert to fraction form
   122,476/256,016 = 256,016/x
3. Step 3: Cross multiply
   122,476x = 256,016 × 256,016
4. Step 4: Simplify right side
   122,476x = 65,544,192,256
5. Step 5: Solve for x
   x = 65,544,192,256/122,476
6. Step 6: Final answer
   x = 535,159.48