Finding the Third Proportional to 102.16 and 222.40

Step by Step Solution

1. Step 1: Write the proportion equation
   102.16 : 222.40 = 222.40 : x
2. Step 2: Convert to fraction form
   102.16/222.40 = 222.40/x
3. Step 3: Cross multiply
   102.16x = 222.40 × 222.40
4. Step 4: Simplify right side
   102.16x = 49,461.07
5. Step 5: Solve for x
   x = 49,461.07/102.16
6. Step 6: Final answer
   x = 484.13