Finding the Third Proportional to 47,778 and 100,884

Step by Step Solution

1. Step 1: Write the proportion equation
   47,778 : 100,884 = 100,884 : x
2. Step 2: Convert to fraction form
   47,778/100,884 = 100,884/x
3. Step 3: Cross multiply
   47,778x = 100,884 × 100,884
4. Step 4: Simplify right side
   47,778x = 10,177,581,456
5. Step 5: Solve for x
   x = 10,177,581,456/47,778
6. Step 6: Final answer
   x = 213,018.16