Finding the Third Proportional to 825,892 and 1,751,024

Step by Step Solution

1. Step 1: Write the proportion equation
   825,892 : 1,751,024 = 1,751,024 : x
2. Step 2: Convert to fraction form
   825,892/1,751,024 = 1,751,024/x
3. Step 3: Cross multiply
   825,892x = 1,751,024 × 1,751,024
4. Step 4: Simplify right side
   825,892x = 3,066,085,048,576
5. Step 5: Solve for x
   x = 3,066,085,048,576/825,892
6. Step 6: Final answer
   x = 3,712,452.78