Finding the Third Proportional to 144,811 and 309,872

Step by Step Solution

1. Step 1: Write the proportion equation
   144,811 : 309,872 = 309,872 : x
2. Step 2: Convert to fraction form
   144,811/309,872 = 309,872/x
3. Step 3: Cross multiply
   144,811x = 309,872 × 309,872
4. Step 4: Simplify right side
   144,811x = 96,020,656,384
5. Step 5: Solve for x
   x = 96,020,656,384/144,811
6. Step 6: Final answer
   x = 663,075.71