Finding the Third Proportional to 222.38 and 341.38

Step by Step Solution

1. Step 1: Write the proportion equation
   222.38 : 341.38 = 341.38 : x
2. Step 2: Convert to fraction form
   222.38/341.38 = 341.38/x
3. Step 3: Cross multiply
   222.38x = 341.38 × 341.38
4. Step 4: Simplify right side
   222.38x = 116,536.89
5. Step 5: Solve for x
   x = 116,536.89/222.38
6. Step 6: Final answer
   x = 524.06