Finding the Third Proportional to 820,966 and 1,764,188

Step by Step Solution

1. Step 1: Write the proportion equation
   820,966 : 1,764,188 = 1,764,188 : x
2. Step 2: Convert to fraction form
   820,966/1,764,188 = 1,764,188/x
3. Step 3: Cross multiply
   820,966x = 1,764,188 × 1,764,188
4. Step 4: Simplify right side
   820,966x = 3,112,359,299,344
5. Step 5: Solve for x
   x = 3,112,359,299,344/820,966
6. Step 6: Final answer
   x = 3,791,094.03