Finding the Third Proportional to 55,686 and 116,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,686 : 116,839.50 = 116,839.50 : x
2. Step 2: Convert to fraction form
   55,686/116,839.50 = 116,839.50/x
3. Step 3: Cross multiply
   55,686x = 116,839.50 × 116,839.50
4. Step 4: Simplify right side
   55,686x = 13,651,468,760.25
5. Step 5: Solve for x
   x = 13,651,468,760.25/55,686
6. Step 6: Final answer
   x = 245,150.82