Finding the Third Proportional to 402,648 and 877,656

Step by Step Solution

1. Step 1: Write the proportion equation
   402,648 : 877,656 = 877,656 : x
2. Step 2: Convert to fraction form
   402,648/877,656 = 877,656/x
3. Step 3: Cross multiply
   402,648x = 877,656 × 877,656
4. Step 4: Simplify right side
   402,648x = 770,280,054,336
5. Step 5: Solve for x
   x = 770,280,054,336/402,648
6. Step 6: Final answer
   x = 1,913,035.84