Finding the Third Proportional to 71,679 and 113,874

Step by Step Solution

1. Step 1: Write the proportion equation
   71,679 : 113,874 = 113,874 : x
2. Step 2: Convert to fraction form
   71,679/113,874 = 113,874/x
3. Step 3: Cross multiply
   71,679x = 113,874 × 113,874
4. Step 4: Simplify right side
   71,679x = 12,967,287,876
5. Step 5: Solve for x
   x = 12,967,287,876/71,679
6. Step 6: Final answer
   x = 180,907.77