Finding the Third Proportional to 89,667 and 138,834

Step by Step Solution

1. Step 1: Write the proportion equation
   89,667 : 138,834 = 138,834 : x
2. Step 2: Convert to fraction form
   89,667/138,834 = 138,834/x
3. Step 3: Cross multiply
   89,667x = 138,834 × 138,834
4. Step 4: Simplify right side
   89,667x = 19,274,879,556
5. Step 5: Solve for x
   x = 19,274,879,556/89,667
6. Step 6: Final answer
   x = 214,960.68