Finding the Third Proportional to 381,769.50 and 829,155

Step by Step Solution

1. Step 1: Write the proportion equation
   381,769.50 : 829,155 = 829,155 : x
2. Step 2: Convert to fraction form
   381,769.50/829,155 = 829,155/x
3. Step 3: Cross multiply
   381,769.50x = 829,155 × 829,155
4. Step 4: Simplify right side
   381,769.50x = 687,498,014,025
5. Step 5: Solve for x
   x = 687,498,014,025/381,769.50
6. Step 6: Final answer
   x = 1,800,819.64