Finding the Third Proportional to 381,721.50 and 822,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,721.50 : 822,091.50 = 822,091.50 : x
2. Step 2: Convert to fraction form
   381,721.50/822,091.50 = 822,091.50/x
3. Step 3: Cross multiply
   381,721.50x = 822,091.50 × 822,091.50
4. Step 4: Simplify right side
   381,721.50x = 675,834,434,372.25
5. Step 5: Solve for x
   x = 675,834,434,372.25/381,721.50
6. Step 6: Final answer
   x = 1,770,490.88