Finding the Third Proportional to 377,774 and 822,008

Step by Step Solution

1. Step 1: Write the proportion equation
   377,774 : 822,008 = 822,008 : x
2. Step 2: Convert to fraction form
   377,774/822,008 = 822,008/x
3. Step 3: Cross multiply
   377,774x = 822,008 × 822,008
4. Step 4: Simplify right side
   377,774x = 675,697,152,064
5. Step 5: Solve for x
   x = 675,697,152,064/377,774
6. Step 6: Final answer
   x = 1,788,627.99