Finding the Third Proportional to 185.63 and 408.59

Step by Step Solution

1. Step 1: Write the proportion equation
   185.63 : 408.59 = 408.59 : x
2. Step 2: Convert to fraction form
   185.63/408.59 = 408.59/x
3. Step 3: Cross multiply
   185.63x = 408.59 × 408.59
4. Step 4: Simplify right side
   185.63x = 166,942.47
5. Step 5: Solve for x
   x = 166,942.47/185.63
6. Step 6: Final answer
   x = 899.35