Finding the Third Proportional to 144,404 and 215,408

Step by Step Solution

1. Step 1: Write the proportion equation
   144,404 : 215,408 = 215,408 : x
2. Step 2: Convert to fraction form
   144,404/215,408 = 215,408/x
3. Step 3: Cross multiply
   144,404x = 215,408 × 215,408
4. Step 4: Simplify right side
   144,404x = 46,400,606,464
5. Step 5: Solve for x
   x = 46,400,606,464/144,404
6. Step 6: Final answer
   x = 321,324.94