Finding the Third Proportional to 689,112 and 1,461,600

Step by Step Solution

1. Step 1: Write the proportion equation
   689,112 : 1,461,600 = 1,461,600 : x
2. Step 2: Convert to fraction form
   689,112/1,461,600 = 1,461,600/x
3. Step 3: Cross multiply
   689,112x = 1,461,600 × 1,461,600
4. Step 4: Simplify right side
   689,112x = 2,136,274,560,000
5. Step 5: Solve for x
   x = 2,136,274,560,000/689,112
6. Step 6: Final answer
   x = 3,100,039.70