Finding the Third Proportional to 86,746 and 200,805

Step by Step Solution

1. Step 1: Write the proportion equation
   86,746 : 200,805 = 200,805 : x
2. Step 2: Convert to fraction form
   86,746/200,805 = 200,805/x
3. Step 3: Cross multiply
   86,746x = 200,805 × 200,805
4. Step 4: Simplify right side
   86,746x = 40,322,648,025
5. Step 5: Solve for x
   x = 40,322,648,025/86,746
6. Step 6: Final answer
   x = 464,835.82