Finding the Third Proportional to 55,684 and 116,836

Step by Step Solution

1. Step 1: Write the proportion equation
   55,684 : 116,836 = 116,836 : x
2. Step 2: Convert to fraction form
   55,684/116,836 = 116,836/x
3. Step 3: Cross multiply
   55,684x = 116,836 × 116,836
4. Step 4: Simplify right side
   55,684x = 13,650,650,896
5. Step 5: Solve for x
   x = 13,650,650,896/55,684
6. Step 6: Final answer
   x = 245,144.94