Finding the Third Proportional to 429,872 and 677,784

Step by Step Solution

1. Step 1: Write the proportion equation
   429,872 : 677,784 = 677,784 : x
2. Step 2: Convert to fraction form
   429,872/677,784 = 677,784/x
3. Step 3: Cross multiply
   429,872x = 677,784 × 677,784
4. Step 4: Simplify right side
   429,872x = 459,391,150,656
5. Step 5: Solve for x
   x = 459,391,150,656/429,872
6. Step 6: Final answer
   x = 1,068,669.63