Finding the Third Proportional to 82.59 and 176.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82.59 : 176.06 = 176.06 : x
2. Step 2: Convert to fraction form
   82.59/176.06 = 176.06/x
3. Step 3: Cross multiply
   82.59x = 176.06 × 176.06
4. Step 4: Simplify right side
   82.59x = 30,998.00
5. Step 5: Solve for x
   x = 30,998.00/82.59
6. Step 6: Final answer
   x = 375.31