Finding the Third Proportional to 113.63 and 174.38

Step by Step Solution

1. Step 1: Write the proportion equation
   113.63 : 174.38 = 174.38 : x
2. Step 2: Convert to fraction form
   113.63/174.38 = 174.38/x
3. Step 3: Cross multiply
   113.63x = 174.38 × 174.38
4. Step 4: Simplify right side
   113.63x = 30,406.64
5. Step 5: Solve for x
   x = 30,406.64/113.63
6. Step 6: Final answer
   x = 267.61