Finding the Third Proportional to 144,470 and 215,463

Step by Step Solution

1. Step 1: Write the proportion equation
   144,470 : 215,463 = 215,463 : x
2. Step 2: Convert to fraction form
   144,470/215,463 = 215,463/x
3. Step 3: Cross multiply
   144,470x = 215,463 × 215,463
4. Step 4: Simplify right side
   144,470x = 46,424,304,369
5. Step 5: Solve for x
   x = 46,424,304,369/144,470
6. Step 6: Final answer
   x = 321,342.18