Finding the Third Proportional to 85.43 and 181.54

Step by Step Solution

1. Step 1: Write the proportion equation
   85.43 : 181.54 = 181.54 : x
2. Step 2: Convert to fraction form
   85.43/181.54 = 181.54/x
3. Step 3: Cross multiply
   85.43x = 181.54 × 181.54
4. Step 4: Simplify right side
   85.43x = 32,956.08
5. Step 5: Solve for x
   x = 32,956.08/85.43
6. Step 6: Final answer
   x = 385.77