Finding the Third Proportional to 144,908 and 213,170

Step by Step Solution

1. Step 1: Write the proportion equation
   144,908 : 213,170 = 213,170 : x
2. Step 2: Convert to fraction form
   144,908/213,170 = 213,170/x
3. Step 3: Cross multiply
   144,908x = 213,170 × 213,170
4. Step 4: Simplify right side
   144,908x = 45,441,448,900
5. Step 5: Solve for x
   x = 45,441,448,900/144,908
6. Step 6: Final answer
   x = 313,588.27