Finding the Third Proportional to 72.94 and 113.56

Step by Step Solution

1. Step 1: Write the proportion equation
   72.94 : 113.56 = 113.56 : x
2. Step 2: Convert to fraction form
   72.94/113.56 = 113.56/x
3. Step 3: Cross multiply
   72.94x = 113.56 × 113.56
4. Step 4: Simplify right side
   72.94x = 12,896.44
5. Step 5: Solve for x
   x = 12,896.44/72.94
6. Step 6: Final answer
   x = 176.81