Finding the Third Proportional to 148.78 and 223.31

Step by Step Solution

1. Step 1: Write the proportion equation
   148.78 : 223.31 = 223.31 : x
2. Step 2: Convert to fraction form
   148.78/223.31 = 223.31/x
3. Step 3: Cross multiply
   148.78x = 223.31 × 223.31
4. Step 4: Simplify right side
   148.78x = 49,868.47
5. Step 5: Solve for x
   x = 49,868.47/148.78
6. Step 6: Final answer
   x = 335.18