Finding the Third Proportional to 53.16 and 116.34

Step by Step Solution

1. Step 1: Write the proportion equation
   53.16 : 116.34 = 116.34 : x
2. Step 2: Convert to fraction form
   53.16/116.34 = 116.34/x
3. Step 3: Cross multiply
   53.16x = 116.34 × 116.34
4. Step 4: Simplify right side
   53.16x = 13,535.87
5. Step 5: Solve for x
   x = 13,535.87/53.16
6. Step 6: Final answer
   x = 254.64