Finding the Third Proportional to 164.67 and 380.81

Step by Step Solution

1. Step 1: Write the proportion equation
   164.67 : 380.81 = 380.81 : x
2. Step 2: Convert to fraction form
   164.67/380.81 = 380.81/x
3. Step 3: Cross multiply
   164.67x = 380.81 × 380.81
4. Step 4: Simplify right side
   164.67x = 145,018.16
5. Step 5: Solve for x
   x = 145,018.16/164.67
6. Step 6: Final answer
   x = 880.65