Finding the Third Proportional to 47,894 and 101,020

Step by Step Solution

1. Step 1: Write the proportion equation
   47,894 : 101,020 = 101,020 : x
2. Step 2: Convert to fraction form
   47,894/101,020 = 101,020/x
3. Step 3: Cross multiply
   47,894x = 101,020 × 101,020
4. Step 4: Simplify right side
   47,894x = 10,205,040,400
5. Step 5: Solve for x
   x = 10,205,040,400/47,894
6. Step 6: Final answer
   x = 213,075.55