Finding the Third Proportional to 164.81 and 223.88

Step by Step Solution

1. Step 1: Write the proportion equation
   164.81 : 223.88 = 223.88 : x
2. Step 2: Convert to fraction form
   164.81/223.88 = 223.88/x
3. Step 3: Cross multiply
   164.81x = 223.88 × 223.88
4. Step 4: Simplify right side
   164.81x = 50,120.02
5. Step 5: Solve for x
   x = 50,120.02/164.81
6. Step 6: Final answer
   x = 304.10