Finding the Third Proportional to 413,606 and 868,946

Step by Step Solution

1. Step 1: Write the proportion equation
   413,606 : 868,946 = 868,946 : x
2. Step 2: Convert to fraction form
   413,606/868,946 = 868,946/x
3. Step 3: Cross multiply
   413,606x = 868,946 × 868,946
4. Step 4: Simplify right side
   413,606x = 755,067,150,916
5. Step 5: Solve for x
   x = 755,067,150,916/413,606
6. Step 6: Final answer
   x = 1,825,571.08