Finding the Third Proportional to 47,878 and 101,516

Step by Step Solution

1. Step 1: Write the proportion equation
   47,878 : 101,516 = 101,516 : x
2. Step 2: Convert to fraction form
   47,878/101,516 = 101,516/x
3. Step 3: Cross multiply
   47,878x = 101,516 × 101,516
4. Step 4: Simplify right side
   47,878x = 10,305,498,256
5. Step 5: Solve for x
   x = 10,305,498,256/47,878
6. Step 6: Final answer
   x = 215,244.96