Finding the Third Proportional to 40,827 and 89,685

Step by Step Solution

1. Step 1: Write the proportion equation
   40,827 : 89,685 = 89,685 : x
2. Step 2: Convert to fraction form
   40,827/89,685 = 89,685/x
3. Step 3: Cross multiply
   40,827x = 89,685 × 89,685
4. Step 4: Simplify right side
   40,827x = 8,043,399,225
5. Step 5: Solve for x
   x = 8,043,399,225/40,827
6. Step 6: Final answer
   x = 197,011.76