Finding the Third Proportional to 185.25 and 393.38

Step by Step Solution

1. Step 1: Write the proportion equation
   185.25 : 393.38 = 393.38 : x
2. Step 2: Convert to fraction form
   185.25/393.38 = 393.38/x
3. Step 3: Cross multiply
   185.25x = 393.38 × 393.38
4. Step 4: Simplify right side
   185.25x = 154,743.89
5. Step 5: Solve for x
   x = 154,743.89/185.25
6. Step 6: Final answer
   x = 835.32