Finding the Third Proportional to 144.63 and 334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144.63 : 334.50 = 334.50 : x
2. Step 2: Convert to fraction form
   144.63/334.50 = 334.50/x
3. Step 3: Cross multiply
   144.63x = 334.50 × 334.50
4. Step 4: Simplify right side
   144.63x = 111,890.25
5. Step 5: Solve for x
   x = 111,890.25/144.63
6. Step 6: Final answer
   x = 773.66