Finding the Third Proportional to 40,805 and 89,641

Step by Step Solution

1. Step 1: Write the proportion equation
   40,805 : 89,641 = 89,641 : x
2. Step 2: Convert to fraction form
   40,805/89,641 = 89,641/x
3. Step 3: Cross multiply
   40,805x = 89,641 × 89,641
4. Step 4: Simplify right side
   40,805x = 8,035,508,881
5. Step 5: Solve for x
   x = 8,035,508,881/40,805
6. Step 6: Final answer
   x = 196,924.61