Finding the Third Proportional to 166.31 and 384.38

Step by Step Solution

1. Step 1: Write the proportion equation
   166.31 : 384.38 = 384.38 : x
2. Step 2: Convert to fraction form
   166.31/384.38 = 384.38/x
3. Step 3: Cross multiply
   166.31x = 384.38 × 384.38
4. Step 4: Simplify right side
   166.31x = 147,744.14
5. Step 5: Solve for x
   x = 147,744.14/166.31
6. Step 6: Final answer
   x = 888.35