Finding the Third Proportional to 314,298 and 678,804

Step by Step Solution

1. Step 1: Write the proportion equation
   314,298 : 678,804 = 678,804 : x
2. Step 2: Convert to fraction form
   314,298/678,804 = 678,804/x
3. Step 3: Cross multiply
   314,298x = 678,804 × 678,804
4. Step 4: Simplify right side
   314,298x = 460,774,870,416
5. Step 5: Solve for x
   x = 460,774,870,416/314,298
6. Step 6: Final answer
   x = 1,466,044.55