Finding the Third Proportional to 533,952 and 826,488

Step by Step Solution

1. Step 1: Write the proportion equation
   533,952 : 826,488 = 826,488 : x
2. Step 2: Convert to fraction form
   533,952/826,488 = 826,488/x
3. Step 3: Cross multiply
   533,952x = 826,488 × 826,488
4. Step 4: Simplify right side
   533,952x = 683,082,414,144
5. Step 5: Solve for x
   x = 683,082,414,144/533,952
6. Step 6: Final answer
   x = 1,279,295.54