Finding the Third Proportional to 81.63 and 154.72

Step by Step Solution

1. Step 1: Write the proportion equation
   81.63 : 154.72 = 154.72 : x
2. Step 2: Convert to fraction form
   81.63/154.72 = 154.72/x
3. Step 3: Cross multiply
   81.63x = 154.72 × 154.72
4. Step 4: Simplify right side
   81.63x = 23,939.10
5. Step 5: Solve for x
   x = 23,939.10/81.63
6. Step 6: Final answer
   x = 293.25