Finding the Third Proportional to 476,382 and 677,142

Step by Step Solution

1. Step 1: Write the proportion equation
   476,382 : 677,142 = 677,142 : x
2. Step 2: Convert to fraction form
   476,382/677,142 = 677,142/x
3. Step 3: Cross multiply
   476,382x = 677,142 × 677,142
4. Step 4: Simplify right side
   476,382x = 458,521,288,164
5. Step 5: Solve for x
   x = 458,521,288,164/476,382
6. Step 6: Final answer
   x = 962,507.58