Finding the Third Proportional to 686,857 and 1,009,705

Step by Step Solution

1. Step 1: Write the proportion equation
   686,857 : 1,009,705 = 1,009,705 : x
2. Step 2: Convert to fraction form
   686,857/1,009,705 = 1,009,705/x
3. Step 3: Cross multiply
   686,857x = 1,009,705 × 1,009,705
4. Step 4: Simplify right side
   686,857x = 1,019,504,187,025
5. Step 5: Solve for x
   x = 1,019,504,187,025/686,857
6. Step 6: Final answer
   x = 1,484,303.41