Finding the Third Proportional to 81,858 and 179,106

Step by Step Solution

1. Step 1: Write the proportion equation
   81,858 : 179,106 = 179,106 : x
2. Step 2: Convert to fraction form
   81,858/179,106 = 179,106/x
3. Step 3: Cross multiply
   81,858x = 179,106 × 179,106
4. Step 4: Simplify right side
   81,858x = 32,078,959,236
5. Step 5: Solve for x
   x = 32,078,959,236/81,858
6. Step 6: Final answer
   x = 391,885.45