Finding the Third Proportional to 47,945 and 102,040

Step by Step Solution

1. Step 1: Write the proportion equation
   47,945 : 102,040 = 102,040 : x
2. Step 2: Convert to fraction form
   47,945/102,040 = 102,040/x
3. Step 3: Cross multiply
   47,945x = 102,040 × 102,040
4. Step 4: Simplify right side
   47,945x = 10,412,161,600
5. Step 5: Solve for x
   x = 10,412,161,600/47,945
6. Step 6: Final answer
   x = 217,168.87