Finding the Third Proportional to 119.60 and 222.12

Step by Step Solution

1. Step 1: Write the proportion equation
   119.60 : 222.12 = 222.12 : x
2. Step 2: Convert to fraction form
   119.60/222.12 = 222.12/x
3. Step 3: Cross multiply
   119.60x = 222.12 × 222.12
4. Step 4: Simplify right side
   119.60x = 49,336.04
5. Step 5: Solve for x
   x = 49,336.04/119.60
6. Step 6: Final answer
   x = 412.50