Finding the Third Proportional to 144,896 and 213,008

Step by Step Solution

1. Step 1: Write the proportion equation
   144,896 : 213,008 = 213,008 : x
2. Step 2: Convert to fraction form
   144,896/213,008 = 213,008/x
3. Step 3: Cross multiply
   144,896x = 213,008 × 213,008
4. Step 4: Simplify right side
   144,896x = 45,372,408,064
5. Step 5: Solve for x
   x = 45,372,408,064/144,896
6. Step 6: Final answer
   x = 313,137.75