Finding the Third Proportional to 222.43 and 337.61

Step by Step Solution

1. Step 1: Write the proportion equation
   222.43 : 337.61 = 337.61 : x
2. Step 2: Convert to fraction form
   222.43/337.61 = 337.61/x
3. Step 3: Cross multiply
   222.43x = 337.61 × 337.61
4. Step 4: Simplify right side
   222.43x = 113,977.45
5. Step 5: Solve for x
   x = 113,977.45/222.43
6. Step 6: Final answer
   x = 512.41