Finding the Third Proportional to 72.56 and 113.81

Step by Step Solution

1. Step 1: Write the proportion equation
   72.56 : 113.81 = 113.81 : x
2. Step 2: Convert to fraction form
   72.56/113.81 = 113.81/x
3. Step 3: Cross multiply
   72.56x = 113.81 × 113.81
4. Step 4: Simplify right side
   72.56x = 12,953.29
5. Step 5: Solve for x
   x = 12,953.29/72.56
6. Step 6: Final answer
   x = 178.51