Finding the Third Proportional to 53,880 and 116,976

Step by Step Solution

1. Step 1: Write the proportion equation
   53,880 : 116,976 = 116,976 : x
2. Step 2: Convert to fraction form
   53,880/116,976 = 116,976/x
3. Step 3: Cross multiply
   53,880x = 116,976 × 116,976
4. Step 4: Simplify right side
   53,880x = 13,683,384,576
5. Step 5: Solve for x
   x = 13,683,384,576/53,880
6. Step 6: Final answer
   x = 253,960.37