Finding the Third Proportional to 378,472.50 and 826,605

Step by Step Solution

1. Step 1: Write the proportion equation
   378,472.50 : 826,605 = 826,605 : x
2. Step 2: Convert to fraction form
   378,472.50/826,605 = 826,605/x
3. Step 3: Cross multiply
   378,472.50x = 826,605 × 826,605
4. Step 4: Simplify right side
   378,472.50x = 683,275,826,025
5. Step 5: Solve for x
   x = 683,275,826,025/378,472.50
6. Step 6: Final answer
   x = 1,805,351.32