Finding the Third Proportional to 52,874 and 114,002

Step by Step Solution

1. Step 1: Write the proportion equation
   52,874 : 114,002 = 114,002 : x
2. Step 2: Convert to fraction form
   52,874/114,002 = 114,002/x
3. Step 3: Cross multiply
   52,874x = 114,002 × 114,002
4. Step 4: Simplify right side
   52,874x = 12,996,456,004
5. Step 5: Solve for x
   x = 12,996,456,004/52,874
6. Step 6: Final answer
   x = 245,800.51