Finding the Third Proportional to 386,568 and 784,064

Step by Step Solution

1. Step 1: Write the proportion equation
   386,568 : 784,064 = 784,064 : x
2. Step 2: Convert to fraction form
   386,568/784,064 = 784,064/x
3. Step 3: Cross multiply
   386,568x = 784,064 × 784,064
4. Step 4: Simplify right side
   386,568x = 614,756,356,096
5. Step 5: Solve for x
   x = 614,756,356,096/386,568
6. Step 6: Final answer
   x = 1,590,292.93