Finding the Third Proportional to 686,864 and 1,009,714

Step by Step Solution

1. Step 1: Write the proportion equation
   686,864 : 1,009,714 = 1,009,714 : x
2. Step 2: Convert to fraction form
   686,864/1,009,714 = 1,009,714/x
3. Step 3: Cross multiply
   686,864x = 1,009,714 × 1,009,714
4. Step 4: Simplify right side
   686,864x = 1,019,522,361,796
5. Step 5: Solve for x
   x = 1,019,522,361,796/686,864
6. Step 6: Final answer
   x = 1,484,314.74