Finding the Third Proportional to 53,514 and 116,208

Step by Step Solution

1. Step 1: Write the proportion equation
   53,514 : 116,208 = 116,208 : x
2. Step 2: Convert to fraction form
   53,514/116,208 = 116,208/x
3. Step 3: Cross multiply
   53,514x = 116,208 × 116,208
4. Step 4: Simplify right side
   53,514x = 13,504,299,264
5. Step 5: Solve for x
   x = 13,504,299,264/53,514
6. Step 6: Final answer
   x = 252,350.77