Finding the Third Proportional to 53,822.25 and 116,256

Step by Step Solution

1. Step 1: Write the proportion equation
   53,822.25 : 116,256 = 116,256 : x
2. Step 2: Convert to fraction form
   53,822.25/116,256 = 116,256/x
3. Step 3: Cross multiply
   53,822.25x = 116,256 × 116,256
4. Step 4: Simplify right side
   53,822.25x = 13,515,457,536
5. Step 5: Solve for x
   x = 13,515,457,536/53,822.25
6. Step 6: Final answer
   x = 251,112.83