Finding the Third Proportional to 144,443 and 322,079

Step by Step Solution

1. Step 1: Write the proportion equation
   144,443 : 322,079 = 322,079 : x
2. Step 2: Convert to fraction form
   144,443/322,079 = 322,079/x
3. Step 3: Cross multiply
   144,443x = 322,079 × 322,079
4. Step 4: Simplify right side
   144,443x = 103,734,882,241
5. Step 5: Solve for x
   x = 103,734,882,241/144,443
6. Step 6: Final answer
   x = 718,171.75