Finding the Third Proportional to 53,540 and 113,508

Step by Step Solution

1. Step 1: Write the proportion equation
   53,540 : 113,508 = 113,508 : x
2. Step 2: Convert to fraction form
   53,540/113,508 = 113,508/x
3. Step 3: Cross multiply
   53,540x = 113,508 × 113,508
4. Step 4: Simplify right side
   53,540x = 12,884,066,064
5. Step 5: Solve for x
   x = 12,884,066,064/53,540
6. Step 6: Final answer
   x = 240,643.74