Finding the Third Proportional to 55,724 and 116,042

Step by Step Solution

1. Step 1: Write the proportion equation
   55,724 : 116,042 = 116,042 : x
2. Step 2: Convert to fraction form
   55,724/116,042 = 116,042/x
3. Step 3: Cross multiply
   55,724x = 116,042 × 116,042
4. Step 4: Simplify right side
   55,724x = 13,465,745,764
5. Step 5: Solve for x
   x = 13,465,745,764/55,724
6. Step 6: Final answer
   x = 241,650.74