Finding the Third Proportional to 185.63 and 404.72

Step by Step Solution

1. Step 1: Write the proportion equation
   185.63 : 404.72 = 404.72 : x
2. Step 2: Convert to fraction form
   185.63/404.72 = 404.72/x
3. Step 3: Cross multiply
   185.63x = 404.72 × 404.72
4. Step 4: Simplify right side
   185.63x = 163,797.27
5. Step 5: Solve for x
   x = 163,797.27/185.63
6. Step 6: Final answer
   x = 882.41