Finding the Third Proportional to 678,298,493 and 1,469,282,314

Step by Step Solution

1. Step 1: Write the proportion equation
   678,298,493 : 1,469,282,314 = 1,469,282,314 : x
2. Step 2: Convert to fraction form
   678,298,493/1,469,282,314 = 1,469,282,314/x
3. Step 3: Cross multiply
   678,298,493x = 1,469,282,314 × 1,469,282,314
4. Step 4: Simplify right side
   678,298,493x = 2,158,790,518,233,194,496
5. Step 5: Solve for x
   x = 2,158,790,518,233,194,496/678,298,493
6. Step 6: Final answer
   x = 3,182,655,630.98