Finding the Third Proportional to 281,832 and 435,870

Step by Step Solution

1. Step 1: Write the proportion equation
   281,832 : 435,870 = 435,870 : x
2. Step 2: Convert to fraction form
   281,832/435,870 = 435,870/x
3. Step 3: Cross multiply
   281,832x = 435,870 × 435,870
4. Step 4: Simplify right side
   281,832x = 189,982,656,900
5. Step 5: Solve for x
   x = 189,982,656,900/281,832
6. Step 6: Final answer
   x = 674,098.96