Finding the Third Proportional to 677,820 and 1,460,697

Step by Step Solution

1. Step 1: Write the proportion equation
   677,820 : 1,460,697 = 1,460,697 : x
2. Step 2: Convert to fraction form
   677,820/1,460,697 = 1,460,697/x
3. Step 3: Cross multiply
   677,820x = 1,460,697 × 1,460,697
4. Step 4: Simplify right side
   677,820x = 2,133,635,725,809
5. Step 5: Solve for x
   x = 2,133,635,725,809/677,820
6. Step 6: Final answer
   x = 3,147,791.04