Finding the Third Proportional to 185.73 and 288.72

Step by Step Solution

1. Step 1: Write the proportion equation
   185.73 : 288.72 = 288.72 : x
2. Step 2: Convert to fraction form
   185.73/288.72 = 288.72/x
3. Step 3: Cross multiply
   185.73x = 288.72 × 288.72
4. Step 4: Simplify right side
   185.73x = 83,359.64
5. Step 5: Solve for x
   x = 83,359.64/185.73
6. Step 6: Final answer
   x = 448.82