Finding the Third Proportional to 52,409 and 108,571

Step by Step Solution

1. Step 1: Write the proportion equation
   52,409 : 108,571 = 108,571 : x
2. Step 2: Convert to fraction form
   52,409/108,571 = 108,571/x
3. Step 3: Cross multiply
   52,409x = 108,571 × 108,571
4. Step 4: Simplify right side
   52,409x = 11,787,662,041
5. Step 5: Solve for x
   x = 11,787,662,041/52,409
6. Step 6: Final answer
   x = 224,916.75