Finding the Third Proportional to 378,730.69 and 809,947.69

Step by Step Solution

1. Step 1: Write the proportion equation
   378,730.69 : 809,947.69 = 809,947.69 : x
2. Step 2: Convert to fraction form
   378,730.69/809,947.69 = 809,947.69/x
3. Step 3: Cross multiply
   378,730.69x = 809,947.69 × 809,947.69
4. Step 4: Simplify right side
   378,730.69x = 656,015,256,486.60
5. Step 5: Solve for x
   x = 656,015,256,486.60/378,730.69
6. Step 6: Final answer
   x = 1,732,141.80