Finding the Third Proportional to 106.25 and 116.88

Step by Step Solution

1. Step 1: Write the proportion equation
   106.25 : 116.88 = 116.88 : x
2. Step 2: Convert to fraction form
   106.25/116.88 = 116.88/x
3. Step 3: Cross multiply
   106.25x = 116.88 × 116.88
4. Step 4: Simplify right side
   106.25x = 13,659.77
5. Step 5: Solve for x
   x = 13,659.77/106.25
6. Step 6: Final answer
   x = 128.56