Finding the Third Proportional to 89,714 and 188,722

Step by Step Solution

1. Step 1: Write the proportion equation
   89,714 : 188,722 = 188,722 : x
2. Step 2: Convert to fraction form
   89,714/188,722 = 188,722/x
3. Step 3: Cross multiply
   89,714x = 188,722 × 188,722
4. Step 4: Simplify right side
   89,714x = 35,615,993,284
5. Step 5: Solve for x
   x = 35,615,993,284/89,714
6. Step 6: Final answer
   x = 396,994.82