Finding the Third Proportional to 53,448 and 116,922

Step by Step Solution

1. Step 1: Write the proportion equation
   53,448 : 116,922 = 116,922 : x
2. Step 2: Convert to fraction form
   53,448/116,922 = 116,922/x
3. Step 3: Cross multiply
   53,448x = 116,922 × 116,922
4. Step 4: Simplify right side
   53,448x = 13,670,754,084
5. Step 5: Solve for x
   x = 13,670,754,084/53,448
6. Step 6: Final answer
   x = 255,776.72