Finding the Third Proportional to 53.58 and 113.48

Step by Step Solution

1. Step 1: Write the proportion equation
   53.58 : 113.48 = 113.48 : x
2. Step 2: Convert to fraction form
   53.58/113.48 = 113.48/x
3. Step 3: Cross multiply
   53.58x = 113.48 × 113.48
4. Step 4: Simplify right side
   53.58x = 12,878.70
5. Step 5: Solve for x
   x = 12,878.70/53.58
6. Step 6: Final answer
   x = 240.37