Finding the Third Proportional to 645,864 and 1,414,849

Step by Step Solution

1. Step 1: Write the proportion equation
   645,864 : 1,414,849 = 1,414,849 : x
2. Step 2: Convert to fraction form
   645,864/1,414,849 = 1,414,849/x
3. Step 3: Cross multiply
   645,864x = 1,414,849 × 1,414,849
4. Step 4: Simplify right side
   645,864x = 2,001,797,692,801
5. Step 5: Solve for x
   x = 2,001,797,692,801/645,864
6. Step 6: Final answer
   x = 3,099,410.55