Finding the Third Proportional to 378,676.50 and 820,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,676.50 : 820,429.50 = 820,429.50 : x
2. Step 2: Convert to fraction form
   378,676.50/820,429.50 = 820,429.50/x
3. Step 3: Cross multiply
   378,676.50x = 820,429.50 × 820,429.50
4. Step 4: Simplify right side
   378,676.50x = 673,104,564,470.25
5. Step 5: Solve for x
   x = 673,104,564,470.25/378,676.50
6. Step 6: Final answer
   x = 1,777,518.71