Finding the Third Proportional to 820,965 and 1,764,186

Step by Step Solution

1. Step 1: Write the proportion equation
   820,965 : 1,764,186 = 1,764,186 : x
2. Step 2: Convert to fraction form
   820,965/1,764,186 = 1,764,186/x
3. Step 3: Cross multiply
   820,965x = 1,764,186 × 1,764,186
4. Step 4: Simplify right side
   820,965x = 3,112,352,242,596
5. Step 5: Solve for x
   x = 3,112,352,242,596/820,965
6. Step 6: Final answer
   x = 3,791,090.05