Finding the Third Proportional to 148.50 and 223.03

Step by Step Solution

1. Step 1: Write the proportion equation
   148.50 : 223.03 = 223.03 : x
2. Step 2: Convert to fraction form
   148.50/223.03 = 223.03/x
3. Step 3: Cross multiply
   148.50x = 223.03 × 223.03
4. Step 4: Simplify right side
   148.50x = 49,742.94
5. Step 5: Solve for x
   x = 49,742.94/148.50
6. Step 6: Final answer
   x = 334.97