Finding the Third Proportional to 89,744 and 188,779

Step by Step Solution

1. Step 1: Write the proportion equation
   89,744 : 188,779 = 188,779 : x
2. Step 2: Convert to fraction form
   89,744/188,779 = 188,779/x
3. Step 3: Cross multiply
   89,744x = 188,779 × 188,779
4. Step 4: Simplify right side
   89,744x = 35,637,510,841
5. Step 5: Solve for x
   x = 35,637,510,841/89,744
6. Step 6: Final answer
   x = 397,101.88