Finding the Third Proportional to 314,308 and 678,404

Step by Step Solution

1. Step 1: Write the proportion equation
   314,308 : 678,404 = 678,404 : x
2. Step 2: Convert to fraction form
   314,308/678,404 = 678,404/x
3. Step 3: Cross multiply
   314,308x = 678,404 × 678,404
4. Step 4: Simplify right side
   314,308x = 460,231,987,216
5. Step 5: Solve for x
   x = 460,231,987,216/314,308
6. Step 6: Final answer
   x = 1,464,270.67