Finding the Third Proportional to 73.69 and 114.72

Step by Step Solution

1. Step 1: Write the proportion equation
   73.69 : 114.72 = 114.72 : x
2. Step 2: Convert to fraction form
   73.69/114.72 = 114.72/x
3. Step 3: Cross multiply
   73.69x = 114.72 × 114.72
4. Step 4: Simplify right side
   73.69x = 13,160.39
5. Step 5: Solve for x
   x = 13,160.39/73.69
6. Step 6: Final answer
   x = 178.60