Finding the Third Proportional to 116.94 and 181.34

Step by Step Solution

1. Step 1: Write the proportion equation
   116.94 : 181.34 = 181.34 : x
2. Step 2: Convert to fraction form
   116.94/181.34 = 181.34/x
3. Step 3: Cross multiply
   116.94x = 181.34 × 181.34
4. Step 4: Simplify right side
   116.94x = 32,885.56
5. Step 5: Solve for x
   x = 32,885.56/116.94
6. Step 6: Final answer
   x = 281.22