Finding the Third Proportional to 82,286 and 179,623

Step by Step Solution

1. Step 1: Write the proportion equation
   82,286 : 179,623 = 179,623 : x
2. Step 2: Convert to fraction form
   82,286/179,623 = 179,623/x
3. Step 3: Cross multiply
   82,286x = 179,623 × 179,623
4. Step 4: Simplify right side
   82,286x = 32,264,422,129
5. Step 5: Solve for x
   x = 32,264,422,129/82,286
6. Step 6: Final answer
   x = 392,100.99