Finding the Third Proportional to 82.31 and 179.63

Step by Step Solution

1. Step 1: Write the proportion equation
   82.31 : 179.63 = 179.63 : x
2. Step 2: Convert to fraction form
   82.31/179.63 = 179.63/x
3. Step 3: Cross multiply
   82.31x = 179.63 × 179.63
4. Step 4: Simplify right side
   82.31x = 32,265.14
5. Step 5: Solve for x
   x = 32,265.14/82.31
6. Step 6: Final answer
   x = 391.98