Finding the Third Proportional to 383,983.50 and 826,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,983.50 : 826,834.50 = 826,834.50 : x
2. Step 2: Convert to fraction form
   383,983.50/826,834.50 = 826,834.50/x
3. Step 3: Cross multiply
   383,983.50x = 826,834.50 × 826,834.50
4. Step 4: Simplify right side
   383,983.50x = 683,655,290,390.25
5. Step 5: Solve for x
   x = 683,655,290,390.25/383,983.50
6. Step 6: Final answer
   x = 1,780,428.82