Finding the Third Proportional to 105,376 and 251,872

Step by Step Solution

1. Step 1: Write the proportion equation
   105,376 : 251,872 = 251,872 : x
2. Step 2: Convert to fraction form
   105,376/251,872 = 251,872/x
3. Step 3: Cross multiply
   105,376x = 251,872 × 251,872
4. Step 4: Simplify right side
   105,376x = 63,439,504,384
5. Step 5: Solve for x
   x = 63,439,504,384/105,376
6. Step 6: Final answer
   x = 602,029.92