Finding the Third Proportional to 81,972 and 179,388

Step by Step Solution

1. Step 1: Write the proportion equation
   81,972 : 179,388 = 179,388 : x
2. Step 2: Convert to fraction form
   81,972/179,388 = 179,388/x
3. Step 3: Cross multiply
   81,972x = 179,388 × 179,388
4. Step 4: Simplify right side
   81,972x = 32,180,054,544
5. Step 5: Solve for x
   x = 32,180,054,544/81,972
6. Step 6: Final answer
   x = 392,573.74