Finding the Third Proportional to 144,443 and 322,078

Step by Step Solution

1. Step 1: Write the proportion equation
   144,443 : 322,078 = 322,078 : x
2. Step 2: Convert to fraction form
   144,443/322,078 = 322,078/x
3. Step 3: Cross multiply
   144,443x = 322,078 × 322,078
4. Step 4: Simplify right side
   144,443x = 103,734,238,084
5. Step 5: Solve for x
   x = 103,734,238,084/144,443
6. Step 6: Final answer
   x = 718,167.29