Finding the Third Proportional to 52,016 and 113,944

Step by Step Solution

1. Step 1: Write the proportion equation
   52,016 : 113,944 = 113,944 : x
2. Step 2: Convert to fraction form
   52,016/113,944 = 113,944/x
3. Step 3: Cross multiply
   52,016x = 113,944 × 113,944
4. Step 4: Simplify right side
   52,016x = 12,983,235,136
5. Step 5: Solve for x
   x = 12,983,235,136/52,016
6. Step 6: Final answer
   x = 249,600.80