Finding the Third Proportional to 103.13 and 222.06

Step by Step Solution

1. Step 1: Write the proportion equation
   103.13 : 222.06 = 222.06 : x
2. Step 2: Convert to fraction form
   103.13/222.06 = 222.06/x
3. Step 3: Cross multiply
   103.13x = 222.06 × 222.06
4. Step 4: Simplify right side
   103.13x = 49,311.75
5. Step 5: Solve for x
   x = 49,311.75/103.13
6. Step 6: Final answer
   x = 478.17