Finding the Third Proportional to 98,816 and 144,496

Step by Step Solution

1. Step 1: Write the proportion equation
   98,816 : 144,496 = 144,496 : x
2. Step 2: Convert to fraction form
   98,816/144,496 = 144,496/x
3. Step 3: Cross multiply
   98,816x = 144,496 × 144,496
4. Step 4: Simplify right side
   98,816x = 20,879,094,016
5. Step 5: Solve for x
   x = 20,879,094,016/98,816
6. Step 6: Final answer
   x = 211,292.65