Finding the Third Proportional to 678,297 and 1,412,414

Step by Step Solution

1. Step 1: Write the proportion equation
   678,297 : 1,412,414 = 1,412,414 : x
2. Step 2: Convert to fraction form
   678,297/1,412,414 = 1,412,414/x
3. Step 3: Cross multiply
   678,297x = 1,412,414 × 1,412,414
4. Step 4: Simplify right side
   678,297x = 1,994,913,307,396
5. Step 5: Solve for x
   x = 1,994,913,307,396/678,297
6. Step 6: Final answer
   x = 2,941,061.67