Finding the Third Proportional to 378,576 and 809,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,576 : 809,680.50 = 809,680.50 : x
2. Step 2: Convert to fraction form
   378,576/809,680.50 = 809,680.50/x
3. Step 3: Cross multiply
   378,576x = 809,680.50 × 809,680.50
4. Step 4: Simplify right side
   378,576x = 655,582,512,080.25
5. Step 5: Solve for x
   x = 655,582,512,080.25/378,576
6. Step 6: Final answer
   x = 1,731,706.48