Finding the Third Proportional to 605,511 and 822,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   605,511 : 822,698.50 = 822,698.50 : x
2. Step 2: Convert to fraction form
   605,511/822,698.50 = 822,698.50/x
3. Step 3: Cross multiply
   605,511x = 822,698.50 × 822,698.50
4. Step 4: Simplify right side
   605,511x = 676,832,821,902.25
5. Step 5: Solve for x
   x = 676,832,821,902.25/605,511
6. Step 6: Final answer
   x = 1,117,787.82