Finding the Third Proportional to 102.80 and 222.47

Step by Step Solution

1. Step 1: Write the proportion equation
   102.80 : 222.47 = 222.47 : x
2. Step 2: Convert to fraction form
   102.80/222.47 = 222.47/x
3. Step 3: Cross multiply
   102.80x = 222.47 × 222.47
4. Step 4: Simplify right side
   102.80x = 49,492.34
5. Step 5: Solve for x
   x = 49,492.34/102.80
6. Step 6: Final answer
   x = 481.46