Finding the Third Proportional to 116.63 and 175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116.63 : 175.50 = 175.50 : x
2. Step 2: Convert to fraction form
   116.63/175.50 = 175.50/x
3. Step 3: Cross multiply
   116.63x = 175.50 × 175.50
4. Step 4: Simplify right side
   116.63x = 30,800.25
5. Step 5: Solve for x
   x = 30,800.25/116.63
6. Step 6: Final answer
   x = 264.10