Finding the Third Proportional to 90.75 and 176.81

Step by Step Solution

1. Step 1: Write the proportion equation
   90.75 : 176.81 = 176.81 : x
2. Step 2: Convert to fraction form
   90.75/176.81 = 176.81/x
3. Step 3: Cross multiply
   90.75x = 176.81 × 176.81
4. Step 4: Simplify right side
   90.75x = 31,262.66
5. Step 5: Solve for x
   x = 31,262.66/90.75
6. Step 6: Final answer
   x = 344.49