Finding the Third Proportional to 82,257 and 179,570.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,257 : 179,570.25 = 179,570.25 : x
2. Step 2: Convert to fraction form
   82,257/179,570.25 = 179,570.25/x
3. Step 3: Cross multiply
   82,257x = 179,570.25 × 179,570.25
4. Step 4: Simplify right side
   82,257x = 32,245,474,685.06
5. Step 5: Solve for x
   x = 32,245,474,685.06/82,257
6. Step 6: Final answer
   x = 392,008.88