Finding the Third Proportional to 53,016 and 116,400

Step by Step Solution

1. Step 1: Write the proportion equation
   53,016 : 116,400 = 116,400 : x
2. Step 2: Convert to fraction form
   53,016/116,400 = 116,400/x
3. Step 3: Cross multiply
   53,016x = 116,400 × 116,400
4. Step 4: Simplify right side
   53,016x = 13,548,960,000
5. Step 5: Solve for x
   x = 13,548,960,000/53,016
6. Step 6: Final answer
   x = 255,563.60