Finding the Third Proportional to 825,786 and 1,263,362

Step by Step Solution

1. Step 1: Write the proportion equation
   825,786 : 1,263,362 = 1,263,362 : x
2. Step 2: Convert to fraction form
   825,786/1,263,362 = 1,263,362/x
3. Step 3: Cross multiply
   825,786x = 1,263,362 × 1,263,362
4. Step 4: Simplify right side
   825,786x = 1,596,083,543,044
5. Step 5: Solve for x
   x = 1,596,083,543,044/825,786
6. Step 6: Final answer
   x = 1,932,805.28