Finding the Third Proportional to 281,179 and 435,506

Step by Step Solution

1. Step 1: Write the proportion equation
   281,179 : 435,506 = 435,506 : x
2. Step 2: Convert to fraction form
   281,179/435,506 = 435,506/x
3. Step 3: Cross multiply
   281,179x = 435,506 × 435,506
4. Step 4: Simplify right side
   281,179x = 189,665,476,036
5. Step 5: Solve for x
   x = 189,665,476,036/281,179
6. Step 6: Final answer
   x = 674,536.42