Finding the Third Proportional to 83.34 and 181.78

Step by Step Solution

1. Step 1: Write the proportion equation
   83.34 : 181.78 = 181.78 : x
2. Step 2: Convert to fraction form
   83.34/181.78 = 181.78/x
3. Step 3: Cross multiply
   83.34x = 181.78 × 181.78
4. Step 4: Simplify right side
   83.34x = 33,044.42
5. Step 5: Solve for x
   x = 33,044.42/83.34
6. Step 6: Final answer
   x = 396.48