Finding the Third Proportional to 96.23 and 182.72

Step by Step Solution

1. Step 1: Write the proportion equation
   96.23 : 182.72 = 182.72 : x
2. Step 2: Convert to fraction form
   96.23/182.72 = 182.72/x
3. Step 3: Cross multiply
   96.23x = 182.72 × 182.72
4. Step 4: Simplify right side
   96.23x = 33,388.28
5. Step 5: Solve for x
   x = 33,388.28/96.23
6. Step 6: Final answer
   x = 346.97