Finding the Third Proportional to 53,872 and 116,320

Step by Step Solution

1. Step 1: Write the proportion equation
   53,872 : 116,320 = 116,320 : x
2. Step 2: Convert to fraction form
   53,872/116,320 = 116,320/x
3. Step 3: Cross multiply
   53,872x = 116,320 × 116,320
4. Step 4: Simplify right side
   53,872x = 13,530,342,400
5. Step 5: Solve for x
   x = 13,530,342,400/53,872
6. Step 6: Final answer
   x = 251,157.23