Finding the Third Proportional to 47,478 and 102,570

Step by Step Solution

1. Step 1: Write the proportion equation
   47,478 : 102,570 = 102,570 : x
2. Step 2: Convert to fraction form
   47,478/102,570 = 102,570/x
3. Step 3: Cross multiply
   47,478x = 102,570 × 102,570
4. Step 4: Simplify right side
   47,478x = 10,520,604,900
5. Step 5: Solve for x
   x = 10,520,604,900/47,478
6. Step 6: Final answer
   x = 221,589.05