Finding the Third Proportional to 116.06 and 175.88

Step by Step Solution

1. Step 1: Write the proportion equation
   116.06 : 175.88 = 175.88 : x
2. Step 2: Convert to fraction form
   116.06/175.88 = 175.88/x
3. Step 3: Cross multiply
   116.06x = 175.88 × 175.88
4. Step 4: Simplify right side
   116.06x = 30,932.02
5. Step 5: Solve for x
   x = 30,932.02/116.06
6. Step 6: Final answer
   x = 266.51