Finding the Third Proportional to 645,678 and 1,274,832

Step by Step Solution

1. Step 1: Write the proportion equation
   645,678 : 1,274,832 = 1,274,832 : x
2. Step 2: Convert to fraction form
   645,678/1,274,832 = 1,274,832/x
3. Step 3: Cross multiply
   645,678x = 1,274,832 × 1,274,832
4. Step 4: Simplify right side
   645,678x = 1,625,196,628,224
5. Step 5: Solve for x
   x = 1,625,196,628,224/645,678
6. Step 6: Final answer
   x = 2,517,038.88