Finding the Third Proportional to 81,872 and 179,352

Step by Step Solution

1. Step 1: Write the proportion equation
   81,872 : 179,352 = 179,352 : x
2. Step 2: Convert to fraction form
   81,872/179,352 = 179,352/x
3. Step 3: Cross multiply
   81,872x = 179,352 × 179,352
4. Step 4: Simplify right side
   81,872x = 32,167,139,904
5. Step 5: Solve for x
   x = 32,167,139,904/81,872
6. Step 6: Final answer
   x = 392,895.49