Finding the Third Proportional to 381,789 and 822,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,789 : 822,586.50 = 822,586.50 : x
2. Step 2: Convert to fraction form
   381,789/822,586.50 = 822,586.50/x
3. Step 3: Cross multiply
   381,789x = 822,586.50 × 822,586.50
4. Step 4: Simplify right side
   381,789x = 676,648,549,982.25
5. Step 5: Solve for x
   x = 676,648,549,982.25/381,789
6. Step 6: Final answer
   x = 1,772,310.23