Finding the Third Proportional to 378,948 and 820,980.56

Step by Step Solution

1. Step 1: Write the proportion equation
   378,948 : 820,980.56 = 820,980.56 : x
2. Step 2: Convert to fraction form
   378,948/820,980.56 = 820,980.56/x
3. Step 3: Cross multiply
   378,948x = 820,980.56 × 820,980.56
4. Step 4: Simplify right side
   378,948x = 674,009,084,002.82
5. Step 5: Solve for x
   x = 674,009,084,002.82/378,948
6. Step 6: Final answer
   x = 1,778,632.12