Finding the Third Proportional to 113.83 and 175.78

Step by Step Solution

1. Step 1: Write the proportion equation
   113.83 : 175.78 = 175.78 : x
2. Step 2: Convert to fraction form
   113.83/175.78 = 175.78/x
3. Step 3: Cross multiply
   113.83x = 175.78 × 175.78
4. Step 4: Simplify right side
   113.83x = 30,899.82
5. Step 5: Solve for x
   x = 30,899.82/113.83
6. Step 6: Final answer
   x = 271.46