Finding the Third Proportional to 825,541 and 1,140,712

Step by Step Solution

1. Step 1: Write the proportion equation
   825,541 : 1,140,712 = 1,140,712 : x
2. Step 2: Convert to fraction form
   825,541/1,140,712 = 1,140,712/x
3. Step 3: Cross multiply
   825,541x = 1,140,712 × 1,140,712
4. Step 4: Simplify right side
   825,541x = 1,301,223,866,944
5. Step 5: Solve for x
   x = 1,301,223,866,944/825,541
6. Step 6: Final answer
   x = 1,576,207.44