Finding the Third Proportional to 82.90 and 181.62

Step by Step Solution

1. Step 1: Write the proportion equation
   82.90 : 181.62 = 181.62 : x
2. Step 2: Convert to fraction form
   82.90/181.62 = 181.62/x
3. Step 3: Cross multiply
   82.90x = 181.62 × 181.62
4. Step 4: Simplify right side
   82.90x = 32,984.80
5. Step 5: Solve for x
   x = 32,984.80/82.90
6. Step 6: Final answer
   x = 397.89