Finding the Third Proportional to 185.56 and 287.59

Step by Step Solution

1. Step 1: Write the proportion equation
   185.56 : 287.59 = 287.59 : x
2. Step 2: Convert to fraction form
   185.56/287.59 = 287.59/x
3. Step 3: Cross multiply
   185.56x = 287.59 × 287.59
4. Step 4: Simplify right side
   185.56x = 82,710.17
5. Step 5: Solve for x
   x = 82,710.17/185.56
6. Step 6: Final answer
   x = 445.73