Finding the Third Proportional to 42,504 and 89,872

Step by Step Solution

1. Step 1: Write the proportion equation
   42,504 : 89,872 = 89,872 : x
2. Step 2: Convert to fraction form
   42,504/89,872 = 89,872/x
3. Step 3: Cross multiply
   42,504x = 89,872 × 89,872
4. Step 4: Simplify right side
   42,504x = 8,076,976,384
5. Step 5: Solve for x
   x = 8,076,976,384/42,504
6. Step 6: Final answer
   x = 190,028.62