Finding the Third Proportional to 102.31 and 222.63

Step by Step Solution

1. Step 1: Write the proportion equation
   102.31 : 222.63 = 222.63 : x
2. Step 2: Convert to fraction form
   102.31/222.63 = 222.63/x
3. Step 3: Cross multiply
   102.31x = 222.63 × 222.63
4. Step 4: Simplify right side
   102.31x = 49,561.89
5. Step 5: Solve for x
   x = 49,561.89/102.31
6. Step 6: Final answer
   x = 484.42