Finding the Third Proportional to 136,960 and 205,872

Step by Step Solution

1. Step 1: Write the proportion equation
   136,960 : 205,872 = 205,872 : x
2. Step 2: Convert to fraction form
   136,960/205,872 = 205,872/x
3. Step 3: Cross multiply
   136,960x = 205,872 × 205,872
4. Step 4: Simplify right side
   136,960x = 42,383,280,384
5. Step 5: Solve for x
   x = 42,383,280,384/136,960
6. Step 6: Final answer
   x = 309,457.36