Finding the Third Proportional to 689,560 and 1,461,216

Step by Step Solution

1. Step 1: Write the proportion equation
   689,560 : 1,461,216 = 1,461,216 : x
2. Step 2: Convert to fraction form
   689,560/1,461,216 = 1,461,216/x
3. Step 3: Cross multiply
   689,560x = 1,461,216 × 1,461,216
4. Step 4: Simplify right side
   689,560x = 2,135,152,198,656
5. Step 5: Solve for x
   x = 2,135,152,198,656/689,560
6. Step 6: Final answer
   x = 3,096,397.99