Finding the Third Proportional to 82.50 and 181.59

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 181.59 = 181.59 : x
2. Step 2: Convert to fraction form
   82.50/181.59 = 181.59/x
3. Step 3: Cross multiply
   82.50x = 181.59 × 181.59
4. Step 4: Simplify right side
   82.50x = 32,976.29
5. Step 5: Solve for x
   x = 32,976.29/82.50
6. Step 6: Final answer
   x = 399.71