Finding the Third Proportional to 116.81 and 175.31

Step by Step Solution

1. Step 1: Write the proportion equation
   116.81 : 175.31 = 175.31 : x
2. Step 2: Convert to fraction form
   116.81/175.31 = 175.31/x
3. Step 3: Cross multiply
   116.81x = 175.31 × 175.31
4. Step 4: Simplify right side
   116.81x = 30,734.47
5. Step 5: Solve for x
   x = 30,734.47/116.81
6. Step 6: Final answer
   x = 263.11