Finding the Third Proportional to 89,669 and 188,633

Step by Step Solution

1. Step 1: Write the proportion equation
   89,669 : 188,633 = 188,633 : x
2. Step 2: Convert to fraction form
   89,669/188,633 = 188,633/x
3. Step 3: Cross multiply
   89,669x = 188,633 × 188,633
4. Step 4: Simplify right side
   89,669x = 35,582,408,689
5. Step 5: Solve for x
   x = 35,582,408,689/89,669
6. Step 6: Final answer
   x = 396,819.51