Finding the Third Proportional to 56,736 and 122,016

Step by Step Solution

1. Step 1: Write the proportion equation
   56,736 : 122,016 = 122,016 : x
2. Step 2: Convert to fraction form
   56,736/122,016 = 122,016/x
3. Step 3: Cross multiply
   56,736x = 122,016 × 122,016
4. Step 4: Simplify right side
   56,736x = 14,887,904,256
5. Step 5: Solve for x
   x = 14,887,904,256/56,736
6. Step 6: Final answer
   x = 262,406.66