Finding the Third Proportional to 53,266 and 116,555

Step by Step Solution

1. Step 1: Write the proportion equation
   53,266 : 116,555 = 116,555 : x
2. Step 2: Convert to fraction form
   53,266/116,555 = 116,555/x
3. Step 3: Cross multiply
   53,266x = 116,555 × 116,555
4. Step 4: Simplify right side
   53,266x = 13,585,068,025
5. Step 5: Solve for x
   x = 13,585,068,025/53,266
6. Step 6: Final answer
   x = 255,042.02