Finding the Third Proportional to 82,356 and 179,770

Step by Step Solution

1. Step 1: Write the proportion equation
   82,356 : 179,770 = 179,770 : x
2. Step 2: Convert to fraction form
   82,356/179,770 = 179,770/x
3. Step 3: Cross multiply
   82,356x = 179,770 × 179,770
4. Step 4: Simplify right side
   82,356x = 32,317,252,900
5. Step 5: Solve for x
   x = 32,317,252,900/82,356
6. Step 6: Final answer
   x = 392,409.21