Finding the Third Proportional to 584,764 and 874,766

Step by Step Solution

1. Step 1: Write the proportion equation
   584,764 : 874,766 = 874,766 : x
2. Step 2: Convert to fraction form
   584,764/874,766 = 874,766/x
3. Step 3: Cross multiply
   584,764x = 874,766 × 874,766
4. Step 4: Simplify right side
   584,764x = 765,215,554,756
5. Step 5: Solve for x
   x = 765,215,554,756/584,764
6. Step 6: Final answer
   x = 1,308,588.69