Finding the Third Proportional to 222.38 and 292.31

Step by Step Solution

1. Step 1: Write the proportion equation
   222.38 : 292.31 = 292.31 : x
2. Step 2: Convert to fraction form
   222.38/292.31 = 292.31/x
3. Step 3: Cross multiply
   222.38x = 292.31 × 292.31
4. Step 4: Simplify right side
   222.38x = 85,446.60
5. Step 5: Solve for x
   x = 85,446.60/222.38
6. Step 6: Final answer
   x = 384.25