Finding the Third Proportional to 73.66 and 154.72

Step by Step Solution

1. Step 1: Write the proportion equation
   73.66 : 154.72 = 154.72 : x
2. Step 2: Convert to fraction form
   73.66/154.72 = 154.72/x
3. Step 3: Cross multiply
   73.66x = 154.72 × 154.72
4. Step 4: Simplify right side
   73.66x = 23,937.89
5. Step 5: Solve for x
   x = 23,937.89/73.66
6. Step 6: Final answer
   x = 324.99