Finding the Third Proportional to 102.94 and 222.31

Step by Step Solution

1. Step 1: Write the proportion equation
   102.94 : 222.31 = 222.31 : x
2. Step 2: Convert to fraction form
   102.94/222.31 = 222.31/x
3. Step 3: Cross multiply
   102.94x = 222.31 × 222.31
4. Step 4: Simplify right side
   102.94x = 49,422.85
5. Step 5: Solve for x
   x = 49,422.85/102.94
6. Step 6: Final answer
   x = 480.12