Finding the Third Proportional to 83.06 and 179.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83.06 : 179.88 = 179.88 : x
2. Step 2: Convert to fraction form
   83.06/179.88 = 179.88/x
3. Step 3: Cross multiply
   83.06x = 179.88 × 179.88
4. Step 4: Simplify right side
   83.06x = 32,355.72
5. Step 5: Solve for x
   x = 32,355.72/83.06
6. Step 6: Final answer
   x = 389.56