Finding the Third Proportional to 82.06 and 176.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82.06 : 176.88 = 176.88 : x
2. Step 2: Convert to fraction form
   82.06/176.88 = 176.88/x
3. Step 3: Cross multiply
   82.06x = 176.88 × 176.88
4. Step 4: Simplify right side
   82.06x = 31,284.77
5. Step 5: Solve for x
   x = 31,284.77/82.06
6. Step 6: Final answer
   x = 381.23