Finding the Third Proportional to 825,834 and 1,206,870

Step by Step Solution

1. Step 1: Write the proportion equation
   825,834 : 1,206,870 = 1,206,870 : x
2. Step 2: Convert to fraction form
   825,834/1,206,870 = 1,206,870/x
3. Step 3: Cross multiply
   825,834x = 1,206,870 × 1,206,870
4. Step 4: Simplify right side
   825,834x = 1,456,535,196,900
5. Step 5: Solve for x
   x = 1,456,535,196,900/825,834
6. Step 6: Final answer
   x = 1,763,714.25