Finding the Third Proportional to 685,809 and 1,507,368

Step by Step Solution

1. Step 1: Write the proportion equation
   685,809 : 1,507,368 = 1,507,368 : x
2. Step 2: Convert to fraction form
   685,809/1,507,368 = 1,507,368/x
3. Step 3: Cross multiply
   685,809x = 1,507,368 × 1,507,368
4. Step 4: Simplify right side
   685,809x = 2,272,158,287,424
5. Step 5: Solve for x
   x = 2,272,158,287,424/685,809
6. Step 6: Final answer
   x = 3,313,106.55