Finding the Third Proportional to 55,724 and 116,040

Step by Step Solution

1. Step 1: Write the proportion equation
   55,724 : 116,040 = 116,040 : x
2. Step 2: Convert to fraction form
   55,724/116,040 = 116,040/x
3. Step 3: Cross multiply
   55,724x = 116,040 × 116,040
4. Step 4: Simplify right side
   55,724x = 13,465,281,600
5. Step 5: Solve for x
   x = 13,465,281,600/55,724
6. Step 6: Final answer
   x = 241,642.41