Finding the Third Proportional to 86.38 and 181.63

Step by Step Solution

1. Step 1: Write the proportion equation
   86.38 : 181.63 = 181.63 : x
2. Step 2: Convert to fraction form
   86.38/181.63 = 181.63/x
3. Step 3: Cross multiply
   86.38x = 181.63 × 181.63
4. Step 4: Simplify right side
   86.38x = 32,987.64
5. Step 5: Solve for x
   x = 32,987.64/86.38
6. Step 6: Final answer
   x = 381.91