Finding the Third Proportional to 47,145 and 100,608

Step by Step Solution

1. Step 1: Write the proportion equation
   47,145 : 100,608 = 100,608 : x
2. Step 2: Convert to fraction form
   47,145/100,608 = 100,608/x
3. Step 3: Cross multiply
   47,145x = 100,608 × 100,608
4. Step 4: Simplify right side
   47,145x = 10,121,969,664
5. Step 5: Solve for x
   x = 10,121,969,664/47,145
6. Step 6: Final answer
   x = 214,698.69