Finding the Third Proportional to 89,694 and 138,801

Step by Step Solution

1. Step 1: Write the proportion equation
   89,694 : 138,801 = 138,801 : x
2. Step 2: Convert to fraction form
   89,694/138,801 = 138,801/x
3. Step 3: Cross multiply
   89,694x = 138,801 × 138,801
4. Step 4: Simplify right side
   89,694x = 19,265,717,601
5. Step 5: Solve for x
   x = 19,265,717,601/89,694
6. Step 6: Final answer
   x = 214,793.83