Finding the Third Proportional to 100.22 and 164.67

Step by Step Solution

1. Step 1: Write the proportion equation
   100.22 : 164.67 = 164.67 : x
2. Step 2: Convert to fraction form
   100.22/164.67 = 164.67/x
3. Step 3: Cross multiply
   100.22x = 164.67 × 164.67
4. Step 4: Simplify right side
   100.22x = 27,116.83
5. Step 5: Solve for x
   x = 27,116.83/100.22
6. Step 6: Final answer
   x = 270.58