Finding the Third Proportional to 74,002 and 113,874

Step by Step Solution

1. Step 1: Write the proportion equation
   74,002 : 113,874 = 113,874 : x
2. Step 2: Convert to fraction form
   74,002/113,874 = 113,874/x
3. Step 3: Cross multiply
   74,002x = 113,874 × 113,874
4. Step 4: Simplify right side
   74,002x = 12,967,287,876
5. Step 5: Solve for x
   x = 12,967,287,876/74,002
6. Step 6: Final answer
   x = 175,228.88