Finding the Third Proportional to 72.84 and 176.27

Step by Step Solution

1. Step 1: Write the proportion equation
   72.84 : 176.27 = 176.27 : x
2. Step 2: Convert to fraction form
   72.84/176.27 = 176.27/x
3. Step 3: Cross multiply
   72.84x = 176.27 × 176.27
4. Step 4: Simplify right side
   72.84x = 31,072.32
5. Step 5: Solve for x
   x = 31,072.32/72.84
6. Step 6: Final answer
   x = 426.56