Finding the Third Proportional to 55,256 and 116,416

Step by Step Solution

1. Step 1: Write the proportion equation
   55,256 : 116,416 = 116,416 : x
2. Step 2: Convert to fraction form
   55,256/116,416 = 116,416/x
3. Step 3: Cross multiply
   55,256x = 116,416 × 116,416
4. Step 4: Simplify right side
   55,256x = 13,552,685,056
5. Step 5: Solve for x
   x = 13,552,685,056/55,256
6. Step 6: Final answer
   x = 245,270.83