Finding the Third Proportional to 689,118 and 1,461,612

Step by Step Solution

1. Step 1: Write the proportion equation
   689,118 : 1,461,612 = 1,461,612 : x
2. Step 2: Convert to fraction form
   689,118/1,461,612 = 1,461,612/x
3. Step 3: Cross multiply
   689,118x = 1,461,612 × 1,461,612
4. Step 4: Simplify right side
   689,118x = 2,136,309,638,544
5. Step 5: Solve for x
   x = 2,136,309,638,544/689,118
6. Step 6: Final answer
   x = 3,100,063.62