Finding the Third Proportional to 47,540 and 100,444

Step by Step Solution

1. Step 1: Write the proportion equation
   47,540 : 100,444 = 100,444 : x
2. Step 2: Convert to fraction form
   47,540/100,444 = 100,444/x
3. Step 3: Cross multiply
   47,540x = 100,444 × 100,444
4. Step 4: Simplify right side
   47,540x = 10,088,997,136
5. Step 5: Solve for x
   x = 10,088,997,136/47,540
6. Step 6: Final answer
   x = 212,221.23