Finding the Third Proportional to 521,164 and 825,908

Step by Step Solution

1. Step 1: Write the proportion equation
   521,164 : 825,908 = 825,908 : x
2. Step 2: Convert to fraction form
   521,164/825,908 = 825,908/x
3. Step 3: Cross multiply
   521,164x = 825,908 × 825,908
4. Step 4: Simplify right side
   521,164x = 682,124,024,464
5. Step 5: Solve for x
   x = 682,124,024,464/521,164
6. Step 6: Final answer
   x = 1,308,847.17