Finding the Third Proportional to 185.57 and 405.32

Step by Step Solution

1. Step 1: Write the proportion equation
   185.57 : 405.32 = 405.32 : x
2. Step 2: Convert to fraction form
   185.57/405.32 = 405.32/x
3. Step 3: Cross multiply
   185.57x = 405.32 × 405.32
4. Step 4: Simplify right side
   185.57x = 164,281.39
5. Step 5: Solve for x
   x = 164,281.39/185.57
6. Step 6: Final answer
   x = 885.27