Finding the Third Proportional to 825,564 and 1,262,967

Step by Step Solution

1. Step 1: Write the proportion equation
   825,564 : 1,262,967 = 1,262,967 : x
2. Step 2: Convert to fraction form
   825,564/1,262,967 = 1,262,967/x
3. Step 3: Cross multiply
   825,564x = 1,262,967 × 1,262,967
4. Step 4: Simplify right side
   825,564x = 1,595,085,643,089
5. Step 5: Solve for x
   x = 1,595,085,643,089/825,564
6. Step 6: Final answer
   x = 1,932,116.28