Finding the Third Proportional to 89,496 and 182,872

Step by Step Solution

1. Step 1: Write the proportion equation
   89,496 : 182,872 = 182,872 : x
2. Step 2: Convert to fraction form
   89,496/182,872 = 182,872/x
3. Step 3: Cross multiply
   89,496x = 182,872 × 182,872
4. Step 4: Simplify right side
   89,496x = 33,442,168,384
5. Step 5: Solve for x
   x = 33,442,168,384/89,496
6. Step 6: Final answer
   x = 373,672.21