Finding the Third Proportional to 222.38 and 356.06

Step by Step Solution

1. Step 1: Write the proportion equation
   222.38 : 356.06 = 356.06 : x
2. Step 2: Convert to fraction form
   222.38/356.06 = 356.06/x
3. Step 3: Cross multiply
   222.38x = 356.06 × 356.06
4. Step 4: Simplify right side
   222.38x = 126,780.50
5. Step 5: Solve for x
   x = 126,780.50/222.38
6. Step 6: Final answer
   x = 570.12