Finding the Third Proportional to 414,818 and 886,496

Step by Step Solution

1. Step 1: Write the proportion equation
   414,818 : 886,496 = 886,496 : x
2. Step 2: Convert to fraction form
   414,818/886,496 = 886,496/x
3. Step 3: Cross multiply
   414,818x = 886,496 × 886,496
4. Step 4: Simplify right side
   414,818x = 785,875,158,016
5. Step 5: Solve for x
   x = 785,875,158,016/414,818
6. Step 6: Final answer
   x = 1,894,505.92