Finding the Third Proportional to 43,969 and 89,491

Step by Step Solution

1. Step 1: Write the proportion equation
   43,969 : 89,491 = 89,491 : x
2. Step 2: Convert to fraction form
   43,969/89,491 = 89,491/x
3. Step 3: Cross multiply
   43,969x = 89,491 × 89,491
4. Step 4: Simplify right side
   43,969x = 8,008,639,081
5. Step 5: Solve for x
   x = 8,008,639,081/43,969
6. Step 6: Final answer
   x = 182,142.85