Finding the Third Proportional to 40,814 and 89,647

Step by Step Solution

1. Step 1: Write the proportion equation
   40,814 : 89,647 = 89,647 : x
2. Step 2: Convert to fraction form
   40,814/89,647 = 89,647/x
3. Step 3: Cross multiply
   40,814x = 89,647 × 89,647
4. Step 4: Simplify right side
   40,814x = 8,036,584,609
5. Step 5: Solve for x
   x = 8,036,584,609/40,814
6. Step 6: Final answer
   x = 196,907.55