Finding the Third Proportional to 53,922 and 116,265

Step by Step Solution

1. Step 1: Write the proportion equation
   53,922 : 116,265 = 116,265 : x
2. Step 2: Convert to fraction form
   53,922/116,265 = 116,265/x
3. Step 3: Cross multiply
   53,922x = 116,265 × 116,265
4. Step 4: Simplify right side
   53,922x = 13,517,550,225
5. Step 5: Solve for x
   x = 13,517,550,225/53,922
6. Step 6: Final answer
   x = 250,687.11