Finding the Third Proportional to 47,636 and 101,834

Step by Step Solution

1. Step 1: Write the proportion equation
   47,636 : 101,834 = 101,834 : x
2. Step 2: Convert to fraction form
   47,636/101,834 = 101,834/x
3. Step 3: Cross multiply
   47,636x = 101,834 × 101,834
4. Step 4: Simplify right side
   47,636x = 10,370,163,556
5. Step 5: Solve for x
   x = 10,370,163,556/47,636
6. Step 6: Final answer
   x = 217,695.93