Finding the Third Proportional to 185.69 and 288.69

Step by Step Solution

1. Step 1: Write the proportion equation
   185.69 : 288.69 = 288.69 : x
2. Step 2: Convert to fraction form
   185.69/288.69 = 288.69/x
3. Step 3: Cross multiply
   185.69x = 288.69 × 288.69
4. Step 4: Simplify right side
   185.69x = 83,340.47
5. Step 5: Solve for x
   x = 83,340.47/185.69
6. Step 6: Final answer
   x = 448.82