Finding the Third Proportional to 96,276 and 144,834

Step by Step Solution

1. Step 1: Write the proportion equation
   96,276 : 144,834 = 144,834 : x
2. Step 2: Convert to fraction form
   96,276/144,834 = 144,834/x
3. Step 3: Cross multiply
   96,276x = 144,834 × 144,834
4. Step 4: Simplify right side
   96,276x = 20,976,887,556
5. Step 5: Solve for x
   x = 20,976,887,556/96,276
6. Step 6: Final answer
   x = 217,882.83