Finding the Third Proportional to 413,946 and 857,540

Step by Step Solution

1. Step 1: Write the proportion equation
   413,946 : 857,540 = 857,540 : x
2. Step 2: Convert to fraction form
   413,946/857,540 = 857,540/x
3. Step 3: Cross multiply
   413,946x = 857,540 × 857,540
4. Step 4: Simplify right side
   413,946x = 735,374,851,600
5. Step 5: Solve for x
   x = 735,374,851,600/413,946
6. Step 6: Final answer
   x = 1,776,499.47