Finding the Third Proportional to 462,180 and 689,436

Step by Step Solution

1. Step 1: Write the proportion equation
   462,180 : 689,436 = 689,436 : x
2. Step 2: Convert to fraction form
   462,180/689,436 = 689,436/x
3. Step 3: Cross multiply
   462,180x = 689,436 × 689,436
4. Step 4: Simplify right side
   462,180x = 475,321,998,096
5. Step 5: Solve for x
   x = 475,321,998,096/462,180
6. Step 6: Final answer
   x = 1,028,434.80