Finding the Third Proportional to 185.81 and 405.56

Step by Step Solution

1. Step 1: Write the proportion equation
   185.81 : 405.56 = 405.56 : x
2. Step 2: Convert to fraction form
   185.81/405.56 = 405.56/x
3. Step 3: Cross multiply
   185.81x = 405.56 × 405.56
4. Step 4: Simplify right side
   185.81x = 164,480.94
5. Step 5: Solve for x
   x = 164,480.94/185.81
6. Step 6: Final answer
   x = 885.20