Finding the Third Proportional to 144,196 and 215,098

Step by Step Solution

1. Step 1: Write the proportion equation
   144,196 : 215,098 = 215,098 : x
2. Step 2: Convert to fraction form
   144,196/215,098 = 215,098/x
3. Step 3: Cross multiply
   144,196x = 215,098 × 215,098
4. Step 4: Simplify right side
   144,196x = 46,267,149,604
5. Step 5: Solve for x
   x = 46,267,149,604/144,196
6. Step 6: Final answer
   x = 320,862.92