Finding the Third Proportional to 113.25 and 183.56

Step by Step Solution

1. Step 1: Write the proportion equation
   113.25 : 183.56 = 183.56 : x
2. Step 2: Convert to fraction form
   113.25/183.56 = 183.56/x
3. Step 3: Cross multiply
   113.25x = 183.56 × 183.56
4. Step 4: Simplify right side
   113.25x = 33,695.19
5. Step 5: Solve for x
   x = 33,695.19/113.25
6. Step 6: Final answer
   x = 297.53