Finding the Third Proportional to 47,401 and 100,147

Step by Step Solution

1. Step 1: Write the proportion equation
   47,401 : 100,147 = 100,147 : x
2. Step 2: Convert to fraction form
   47,401/100,147 = 100,147/x
3. Step 3: Cross multiply
   47,401x = 100,147 × 100,147
4. Step 4: Simplify right side
   47,401x = 10,029,421,609
5. Step 5: Solve for x
   x = 10,029,421,609/47,401
6. Step 6: Final answer
   x = 211,586.71