Finding the Third Proportional to 827,023 and 1,780,756

Step by Step Solution

1. Step 1: Write the proportion equation
   827,023 : 1,780,756 = 1,780,756 : x
2. Step 2: Convert to fraction form
   827,023/1,780,756 = 1,780,756/x
3. Step 3: Cross multiply
   827,023x = 1,780,756 × 1,780,756
4. Step 4: Simplify right side
   827,023x = 3,171,091,931,536
5. Step 5: Solve for x
   x = 3,171,091,931,536/827,023
6. Step 6: Final answer
   x = 3,834,345.52