Finding the Third Proportional to 47,478.50 and 102,571

Step by Step Solution

1. Step 1: Write the proportion equation
   47,478.50 : 102,571 = 102,571 : x
2. Step 2: Convert to fraction form
   47,478.50/102,571 = 102,571/x
3. Step 3: Cross multiply
   47,478.50x = 102,571 × 102,571
4. Step 4: Simplify right side
   47,478.50x = 10,520,810,041
5. Step 5: Solve for x
   x = 10,520,810,041/47,478.50
6. Step 6: Final answer
   x = 221,591.04