Finding the Third Proportional to 144.63 and 211.89

Step by Step Solution

1. Step 1: Write the proportion equation
   144.63 : 211.89 = 211.89 : x
2. Step 2: Convert to fraction form
   144.63/211.89 = 211.89/x
3. Step 3: Cross multiply
   144.63x = 211.89 × 211.89
4. Step 4: Simplify right side
   144.63x = 44,895.98
5. Step 5: Solve for x
   x = 44,895.98/144.63
6. Step 6: Final answer
   x = 310.41