Finding the Third Proportional to 47,909 and 100,780

Step by Step Solution

1. Step 1: Write the proportion equation
   47,909 : 100,780 = 100,780 : x
2. Step 2: Convert to fraction form
   47,909/100,780 = 100,780/x
3. Step 3: Cross multiply
   47,909x = 100,780 × 100,780
4. Step 4: Simplify right side
   47,909x = 10,156,608,400
5. Step 5: Solve for x
   x = 10,156,608,400/47,909
6. Step 6: Final answer
   x = 211,997.92