Finding the Third Proportional to 41,690 and 89,212

Step by Step Solution

1. Step 1: Write the proportion equation
   41,690 : 89,212 = 89,212 : x
2. Step 2: Convert to fraction form
   41,690/89,212 = 89,212/x
3. Step 3: Cross multiply
   41,690x = 89,212 × 89,212
4. Step 4: Simplify right side
   41,690x = 7,958,780,944
5. Step 5: Solve for x
   x = 7,958,780,944/41,690
6. Step 6: Final answer
   x = 190,903.84