Finding the Third Proportional to 141,000 and 205,872

Step by Step Solution

1. Step 1: Write the proportion equation
   141,000 : 205,872 = 205,872 : x
2. Step 2: Convert to fraction form
   141,000/205,872 = 205,872/x
3. Step 3: Cross multiply
   141,000x = 205,872 × 205,872
4. Step 4: Simplify right side
   141,000x = 42,383,280,384
5. Step 5: Solve for x
   x = 42,383,280,384/141,000
6. Step 6: Final answer
   x = 300,590.64