Finding the Third Proportional to 825,596 and 1,262,046

Step by Step Solution

1. Step 1: Write the proportion equation
   825,596 : 1,262,046 = 1,262,046 : x
2. Step 2: Convert to fraction form
   825,596/1,262,046 = 1,262,046/x
3. Step 3: Cross multiply
   825,596x = 1,262,046 × 1,262,046
4. Step 4: Simplify right side
   825,596x = 1,592,760,106,116
5. Step 5: Solve for x
   x = 1,592,760,106,116/825,596
6. Step 6: Final answer
   x = 1,929,224.59