Finding the Third Proportional to 820,978 and 1,764,212

Step by Step Solution

1. Step 1: Write the proportion equation
   820,978 : 1,764,212 = 1,764,212 : x
2. Step 2: Convert to fraction form
   820,978/1,764,212 = 1,764,212/x
3. Step 3: Cross multiply
   820,978x = 1,764,212 × 1,764,212
4. Step 4: Simplify right side
   820,978x = 3,112,443,980,944
5. Step 5: Solve for x
   x = 3,112,443,980,944/820,978
6. Step 6: Final answer
   x = 3,791,141.76