Finding the Third Proportional to 86.56 and 181.94

Step by Step Solution

1. Step 1: Write the proportion equation
   86.56 : 181.94 = 181.94 : x
2. Step 2: Convert to fraction form
   86.56/181.94 = 181.94/x
3. Step 3: Cross multiply
   86.56x = 181.94 × 181.94
4. Step 4: Simplify right side
   86.56x = 33,101.25
5. Step 5: Solve for x
   x = 33,101.25/86.56
6. Step 6: Final answer
   x = 382.40