Finding the Third Proportional to 381,780 and 822,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,780 : 822,568.50 = 822,568.50 : x
2. Step 2: Convert to fraction form
   381,780/822,568.50 = 822,568.50/x
3. Step 3: Cross multiply
   381,780x = 822,568.50 × 822,568.50
4. Step 4: Simplify right side
   381,780x = 676,618,937,192.25
5. Step 5: Solve for x
   x = 676,618,937,192.25/381,780
6. Step 6: Final answer
   x = 1,772,274.44