Finding the Third Proportional to 1,586,533 and 2,416,998

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586,533 : 2,416,998 = 2,416,998 : x
2. Step 2: Convert to fraction form
   1,586,533/2,416,998 = 2,416,998/x
3. Step 3: Cross multiply
   1,586,533x = 2,416,998 × 2,416,998
4. Step 4: Simplify right side
   1,586,533x = 5,841,879,332,004
5. Step 5: Solve for x
   x = 5,841,879,332,004/1,586,533
6. Step 6: Final answer
   x = 3,682,166.92