Finding the Third Proportional to 89,679 and 144,496

Step by Step Solution

1. Step 1: Write the proportion equation
   89,679 : 144,496 = 144,496 : x
2. Step 2: Convert to fraction form
   89,679/144,496 = 144,496/x
3. Step 3: Cross multiply
   89,679x = 144,496 × 144,496
4. Step 4: Simplify right side
   89,679x = 20,879,094,016
5. Step 5: Solve for x
   x = 20,879,094,016/89,679
6. Step 6: Final answer
   x = 232,820.33