Finding the Third Proportional to 144,406 and 215,411

Step by Step Solution

1. Step 1: Write the proportion equation
   144,406 : 215,411 = 215,411 : x
2. Step 2: Convert to fraction form
   144,406/215,411 = 215,411/x
3. Step 3: Cross multiply
   144,406x = 215,411 × 215,411
4. Step 4: Simplify right side
   144,406x = 46,401,898,921
5. Step 5: Solve for x
   x = 46,401,898,921/144,406
6. Step 6: Final answer
   x = 321,329.44