Finding the Third Proportional to 53.06 and 116.44

Step by Step Solution

1. Step 1: Write the proportion equation
   53.06 : 116.44 = 116.44 : x
2. Step 2: Convert to fraction form
   53.06/116.44 = 116.44/x
3. Step 3: Cross multiply
   53.06x = 116.44 × 116.44
4. Step 4: Simplify right side
   53.06x = 13,557.69
5. Step 5: Solve for x
   x = 13,557.69/53.06
6. Step 6: Final answer
   x = 255.50