Finding the Third Proportional to 314,300 and 678,808

Step by Step Solution

1. Step 1: Write the proportion equation
   314,300 : 678,808 = 678,808 : x
2. Step 2: Convert to fraction form
   314,300/678,808 = 678,808/x
3. Step 3: Cross multiply
   314,300x = 678,808 × 678,808
4. Step 4: Simplify right side
   314,300x = 460,780,300,864
5. Step 5: Solve for x
   x = 460,780,300,864/314,300
6. Step 6: Final answer
   x = 1,466,052.50