Finding the Third Proportional to 83.06 and 181.31

Step by Step Solution

1. Step 1: Write the proportion equation
   83.06 : 181.31 = 181.31 : x
2. Step 2: Convert to fraction form
   83.06/181.31 = 181.31/x
3. Step 3: Cross multiply
   83.06x = 181.31 × 181.31
4. Step 4: Simplify right side
   83.06x = 32,874.22
5. Step 5: Solve for x
   x = 32,874.22/83.06
6. Step 6: Final answer
   x = 395.78