Finding the Third Proportional to 51,947 and 113,002

Step by Step Solution

1. Step 1: Write the proportion equation
   51,947 : 113,002 = 113,002 : x
2. Step 2: Convert to fraction form
   51,947/113,002 = 113,002/x
3. Step 3: Cross multiply
   51,947x = 113,002 × 113,002
4. Step 4: Simplify right side
   51,947x = 12,769,452,004
5. Step 5: Solve for x
   x = 12,769,452,004/51,947
6. Step 6: Final answer
   x = 245,816.93