Finding the Third Proportional to 820,964 and 1,764,184

Step by Step Solution

1. Step 1: Write the proportion equation
   820,964 : 1,764,184 = 1,764,184 : x
2. Step 2: Convert to fraction form
   820,964/1,764,184 = 1,764,184/x
3. Step 3: Cross multiply
   820,964x = 1,764,184 × 1,764,184
4. Step 4: Simplify right side
   820,964x = 3,112,345,185,856
5. Step 5: Solve for x
   x = 3,112,345,185,856/820,964
6. Step 6: Final answer
   x = 3,791,086.07