Finding the Third Proportional to 48,801 and 101,838

Step by Step Solution

1. Step 1: Write the proportion equation
   48,801 : 101,838 = 101,838 : x
2. Step 2: Convert to fraction form
   48,801/101,838 = 101,838/x
3. Step 3: Cross multiply
   48,801x = 101,838 × 101,838
4. Step 4: Simplify right side
   48,801x = 10,370,978,244
5. Step 5: Solve for x
   x = 10,370,978,244/48,801
6. Step 6: Final answer
   x = 212,515.69