Finding the Third Proportional to 47,838 and 101,142

Step by Step Solution

1. Step 1: Write the proportion equation
   47,838 : 101,142 = 101,142 : x
2. Step 2: Convert to fraction form
   47,838/101,142 = 101,142/x
3. Step 3: Cross multiply
   47,838x = 101,142 × 101,142
4. Step 4: Simplify right side
   47,838x = 10,229,704,164
5. Step 5: Solve for x
   x = 10,229,704,164/47,838
6. Step 6: Final answer
   x = 213,840.55