Finding the Third Proportional to 378,996 and 821,062.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,996 : 821,062.50 = 821,062.50 : x
2. Step 2: Convert to fraction form
   378,996/821,062.50 = 821,062.50/x
3. Step 3: Cross multiply
   378,996x = 821,062.50 × 821,062.50
4. Step 4: Simplify right side
   378,996x = 674,143,628,906.25
5. Step 5: Solve for x
   x = 674,143,628,906.25/378,996
6. Step 6: Final answer
   x = 1,778,761.86