Finding the Third Proportional to 81,913 and 179,216

Step by Step Solution

1. Step 1: Write the proportion equation
   81,913 : 179,216 = 179,216 : x
2. Step 2: Convert to fraction form
   81,913/179,216 = 179,216/x
3. Step 3: Cross multiply
   81,913x = 179,216 × 179,216
4. Step 4: Simplify right side
   81,913x = 32,118,374,656
5. Step 5: Solve for x
   x = 32,118,374,656/81,913
6. Step 6: Final answer
   x = 392,103.51