Finding the Third Proportional to 140,642 and 187,872

Step by Step Solution

1. Step 1: Write the proportion equation
   140,642 : 187,872 = 187,872 : x
2. Step 2: Convert to fraction form
   140,642/187,872 = 187,872/x
3. Step 3: Cross multiply
   140,642x = 187,872 × 187,872
4. Step 4: Simplify right side
   140,642x = 35,295,888,384
5. Step 5: Solve for x
   x = 35,295,888,384/140,642
6. Step 6: Final answer
   x = 250,962.65