Finding the Third Proportional to 47,548 and 100,401

Step by Step Solution

1. Step 1: Write the proportion equation
   47,548 : 100,401 = 100,401 : x
2. Step 2: Convert to fraction form
   47,548/100,401 = 100,401/x
3. Step 3: Cross multiply
   47,548x = 100,401 × 100,401
4. Step 4: Simplify right side
   47,548x = 10,080,360,801
5. Step 5: Solve for x
   x = 10,080,360,801/47,548
6. Step 6: Final answer
   x = 212,003.89