Finding the Third Proportional to 72.38 and 114.41

Step by Step Solution

1. Step 1: Write the proportion equation
   72.38 : 114.41 = 114.41 : x
2. Step 2: Convert to fraction form
   72.38/114.41 = 114.41/x
3. Step 3: Cross multiply
   72.38x = 114.41 × 114.41
4. Step 4: Simplify right side
   72.38x = 13,088.79
5. Step 5: Solve for x
   x = 13,088.79/72.38
6. Step 6: Final answer
   x = 180.85