Finding the Third Proportional to 112.63 and 175.69

Step by Step Solution

1. Step 1: Write the proportion equation
   112.63 : 175.69 = 175.69 : x
2. Step 2: Convert to fraction form
   112.63/175.69 = 175.69/x
3. Step 3: Cross multiply
   112.63x = 175.69 × 175.69
4. Step 4: Simplify right side
   112.63x = 30,866.10
5. Step 5: Solve for x
   x = 30,866.10/112.63
6. Step 6: Final answer
   x = 274.06