Finding the Third Proportional to 140,945 and 218,384

Step by Step Solution

1. Step 1: Write the proportion equation
   140,945 : 218,384 = 218,384 : x
2. Step 2: Convert to fraction form
   140,945/218,384 = 218,384/x
3. Step 3: Cross multiply
   140,945x = 218,384 × 218,384
4. Step 4: Simplify right side
   140,945x = 47,691,571,456
5. Step 5: Solve for x
   x = 47,691,571,456/140,945
6. Step 6: Final answer
   x = 338,370.08