Finding the Third Proportional to 112.20 and 164.61

Step by Step Solution

1. Step 1: Write the proportion equation
   112.20 : 164.61 = 164.61 : x
2. Step 2: Convert to fraction form
   112.20/164.61 = 164.61/x
3. Step 3: Cross multiply
   112.20x = 164.61 × 164.61
4. Step 4: Simplify right side
   112.20x = 27,096.25
5. Step 5: Solve for x
   x = 27,096.25/112.20
6. Step 6: Final answer
   x = 241.49