Finding the Third Proportional to 820,974 and 1,764,204

Step by Step Solution

1. Step 1: Write the proportion equation
   820,974 : 1,764,204 = 1,764,204 : x
2. Step 2: Convert to fraction form
   820,974/1,764,204 = 1,764,204/x
3. Step 3: Cross multiply
   820,974x = 1,764,204 × 1,764,204
4. Step 4: Simplify right side
   820,974x = 3,112,415,753,616
5. Step 5: Solve for x
   x = 3,112,415,753,616/820,974
6. Step 6: Final answer
   x = 3,791,125.85