Finding the Third Proportional to 388,408 and 830,784

Step by Step Solution

1. Step 1: Write the proportion equation
   388,408 : 830,784 = 830,784 : x
2. Step 2: Convert to fraction form
   388,408/830,784 = 830,784/x
3. Step 3: Cross multiply
   388,408x = 830,784 × 830,784
4. Step 4: Simplify right side
   388,408x = 690,202,054,656
5. Step 5: Solve for x
   x = 690,202,054,656/388,408
6. Step 6: Final answer
   x = 1,777,002.67