Finding the Third Proportional to 47,981 and 101,498

Step by Step Solution

1. Step 1: Write the proportion equation
   47,981 : 101,498 = 101,498 : x
2. Step 2: Convert to fraction form
   47,981/101,498 = 101,498/x
3. Step 3: Cross multiply
   47,981x = 101,498 × 101,498
4. Step 4: Simplify right side
   47,981x = 10,301,844,004
5. Step 5: Solve for x
   x = 10,301,844,004/47,981
6. Step 6: Final answer
   x = 214,706.74