Finding the Third Proportional to 53,800 and 116,944

Step by Step Solution

1. Step 1: Write the proportion equation
   53,800 : 116,944 = 116,944 : x
2. Step 2: Convert to fraction form
   53,800/116,944 = 116,944/x
3. Step 3: Cross multiply
   53,800x = 116,944 × 116,944
4. Step 4: Simplify right side
   53,800x = 13,675,899,136
5. Step 5: Solve for x
   x = 13,675,899,136/53,800
6. Step 6: Final answer
   x = 254,198.87