Finding the Third Proportional to 83.75 and 181.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83.75 : 181.69 = 181.69 : x
2. Step 2: Convert to fraction form
   83.75/181.69 = 181.69/x
3. Step 3: Cross multiply
   83.75x = 181.69 × 181.69
4. Step 4: Simplify right side
   83.75x = 33,010.35
5. Step 5: Solve for x
   x = 33,010.35/83.75
6. Step 6: Final answer
   x = 394.15