Finding the Third Proportional to 653,825 and 1,410,864

Step by Step Solution

1. Step 1: Write the proportion equation
   653,825 : 1,410,864 = 1,410,864 : x
2. Step 2: Convert to fraction form
   653,825/1,410,864 = 1,410,864/x
3. Step 3: Cross multiply
   653,825x = 1,410,864 × 1,410,864
4. Step 4: Simplify right side
   653,825x = 1,990,537,226,496
5. Step 5: Solve for x
   x = 1,990,537,226,496/653,825
6. Step 6: Final answer
   x = 3,044,449.55