Finding the Third Proportional to 301,144 and 440,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,144 : 440,385.50 = 440,385.50 : x
2. Step 2: Convert to fraction form
   301,144/440,385.50 = 440,385.50/x
3. Step 3: Cross multiply
   301,144x = 440,385.50 × 440,385.50
4. Step 4: Simplify right side
   301,144x = 193,939,388,610.25
5. Step 5: Solve for x
   x = 193,939,388,610.25/301,144
6. Step 6: Final answer
   x = 644,008.81