Finding the Third Proportional to 378,567 and 809,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,567 : 809,662.50 = 809,662.50 : x
2. Step 2: Convert to fraction form
   378,567/809,662.50 = 809,662.50/x
3. Step 3: Cross multiply
   378,567x = 809,662.50 × 809,662.50
4. Step 4: Simplify right side
   378,567x = 655,553,363,906.25
5. Step 5: Solve for x
   x = 655,553,363,906.25/378,567
6. Step 6: Final answer
   x = 1,731,670.65