Finding the Third Proportional to 820,976 and 1,764,208

Step by Step Solution

1. Step 1: Write the proportion equation
   820,976 : 1,764,208 = 1,764,208 : x
2. Step 2: Convert to fraction form
   820,976/1,764,208 = 1,764,208/x
3. Step 3: Cross multiply
   820,976x = 1,764,208 × 1,764,208
4. Step 4: Simplify right side
   820,976x = 3,112,429,867,264
5. Step 5: Solve for x
   x = 3,112,429,867,264/820,976
6. Step 6: Final answer
   x = 3,791,133.81