Finding the Third Proportional to 82,396 and 179,888

Step by Step Solution

1. Step 1: Write the proportion equation
   82,396 : 179,888 = 179,888 : x
2. Step 2: Convert to fraction form
   82,396/179,888 = 179,888/x
3. Step 3: Cross multiply
   82,396x = 179,888 × 179,888
4. Step 4: Simplify right side
   82,396x = 32,359,692,544
5. Step 5: Solve for x
   x = 32,359,692,544/82,396
6. Step 6: Final answer
   x = 392,733.78