Finding the Third Proportional to 185.94 and 404.63

Step by Step Solution

1. Step 1: Write the proportion equation
   185.94 : 404.63 = 404.63 : x
2. Step 2: Convert to fraction form
   185.94/404.63 = 404.63/x
3. Step 3: Cross multiply
   185.94x = 404.63 × 404.63
4. Step 4: Simplify right side
   185.94x = 163,721.39
5. Step 5: Solve for x
   x = 163,721.39/185.94
6. Step 6: Final answer
   x = 880.52