Finding the Third Proportional to 53,596 and 113,240

Step by Step Solution

1. Step 1: Write the proportion equation
   53,596 : 113,240 = 113,240 : x
2. Step 2: Convert to fraction form
   53,596/113,240 = 113,240/x
3. Step 3: Cross multiply
   53,596x = 113,240 × 113,240
4. Step 4: Simplify right side
   53,596x = 12,823,297,600
5. Step 5: Solve for x
   x = 12,823,297,600/53,596
6. Step 6: Final answer
   x = 239,258.48