Finding the Third Proportional to 83.04 and 176.27

Step by Step Solution

1. Step 1: Write the proportion equation
   83.04 : 176.27 = 176.27 : x
2. Step 2: Convert to fraction form
   83.04/176.27 = 176.27/x
3. Step 3: Cross multiply
   83.04x = 176.27 × 176.27
4. Step 4: Simplify right side
   83.04x = 31,072.32
5. Step 5: Solve for x
   x = 31,072.32/83.04
6. Step 6: Final answer
   x = 374.19