Finding the Third Proportional to 144,900 and 213,018.75

Step by Step Solution

1. Step 1: Write the proportion equation
   144,900 : 213,018.75 = 213,018.75 : x
2. Step 2: Convert to fraction form
   144,900/213,018.75 = 213,018.75/x
3. Step 3: Cross multiply
   144,900x = 213,018.75 × 213,018.75
4. Step 4: Simplify right side
   144,900x = 45,376,987,851.56
5. Step 5: Solve for x
   x = 45,376,987,851.56/144,900
6. Step 6: Final answer
   x = 313,160.72