Finding the Third Proportional to 47,857 and 103,026

Step by Step Solution

1. Step 1: Write the proportion equation
   47,857 : 103,026 = 103,026 : x
2. Step 2: Convert to fraction form
   47,857/103,026 = 103,026/x
3. Step 3: Cross multiply
   47,857x = 103,026 × 103,026
4. Step 4: Simplify right side
   47,857x = 10,614,356,676
5. Step 5: Solve for x
   x = 10,614,356,676/47,857
6. Step 6: Final answer
   x = 221,793.19