Finding the Third Proportional to 89,694 and 188,682

Step by Step Solution

1. Step 1: Write the proportion equation
   89,694 : 188,682 = 188,682 : x
2. Step 2: Convert to fraction form
   89,694/188,682 = 188,682/x
3. Step 3: Cross multiply
   89,694x = 188,682 × 188,682
4. Step 4: Simplify right side
   89,694x = 35,600,897,124
5. Step 5: Solve for x
   x = 35,600,897,124/89,694
6. Step 6: Final answer
   x = 396,915.03