Finding the Third Proportional to 538,326 and 826,341.75

Step by Step Solution

1. Step 1: Write the proportion equation
   538,326 : 826,341.75 = 826,341.75 : x
2. Step 2: Convert to fraction form
   538,326/826,341.75 = 826,341.75/x
3. Step 3: Cross multiply
   538,326x = 826,341.75 × 826,341.75
4. Step 4: Simplify right side
   538,326x = 682,840,687,793.06
5. Step 5: Solve for x
   x = 682,840,687,793.06/538,326
6. Step 6: Final answer
   x = 1,268,451.99