Finding the Third Proportional to 128,384 and 196,908

Step by Step Solution

1. Step 1: Write the proportion equation
   128,384 : 196,908 = 196,908 : x
2. Step 2: Convert to fraction form
   128,384/196,908 = 196,908/x
3. Step 3: Cross multiply
   128,384x = 196,908 × 196,908
4. Step 4: Simplify right side
   128,384x = 38,772,760,464
5. Step 5: Solve for x
   x = 38,772,760,464/128,384
6. Step 6: Final answer
   x = 302,006.17