Finding the Third Proportional to 678,564 and 1,412,967

Step by Step Solution

1. Step 1: Write the proportion equation
   678,564 : 1,412,967 = 1,412,967 : x
2. Step 2: Convert to fraction form
   678,564/1,412,967 = 1,412,967/x
3. Step 3: Cross multiply
   678,564x = 1,412,967 × 1,412,967
4. Step 4: Simplify right side
   678,564x = 1,996,475,743,089
5. Step 5: Solve for x
   x = 1,996,475,743,089/678,564
6. Step 6: Final answer
   x = 2,942,206.99