Finding the Third Proportional to 314,494.50 and 678,777

Step by Step Solution

1. Step 1: Write the proportion equation
   314,494.50 : 678,777 = 678,777 : x
2. Step 2: Convert to fraction form
   314,494.50/678,777 = 678,777/x
3. Step 3: Cross multiply
   314,494.50x = 678,777 × 678,777
4. Step 4: Simplify right side
   314,494.50x = 460,738,215,729
5. Step 5: Solve for x
   x = 460,738,215,729/314,494.50
6. Step 6: Final answer
   x = 1,465,012.00