Finding the Third Proportional to 81,848 and 179,008

Step by Step Solution

1. Step 1: Write the proportion equation
   81,848 : 179,008 = 179,008 : x
2. Step 2: Convert to fraction form
   81,848/179,008 = 179,008/x
3. Step 3: Cross multiply
   81,848x = 179,008 × 179,008
4. Step 4: Simplify right side
   81,848x = 32,043,864,064
5. Step 5: Solve for x
   x = 32,043,864,064/81,848
6. Step 6: Final answer
   x = 391,504.55