Finding the Third Proportional to 821,456 and 1,764,350

Step by Step Solution

1. Step 1: Write the proportion equation
   821,456 : 1,764,350 = 1,764,350 : x
2. Step 2: Convert to fraction form
   821,456/1,764,350 = 1,764,350/x
3. Step 3: Cross multiply
   821,456x = 1,764,350 × 1,764,350
4. Step 4: Simplify right side
   821,456x = 3,112,930,922,500
5. Step 5: Solve for x
   x = 3,112,930,922,500/821,456
6. Step 6: Final answer
   x = 3,789,528.50