Finding the Third Proportional to 82,411 and 179,510

Step by Step Solution

1. Step 1: Write the proportion equation
   82,411 : 179,510 = 179,510 : x
2. Step 2: Convert to fraction form
   82,411/179,510 = 179,510/x
3. Step 3: Cross multiply
   82,411x = 179,510 × 179,510
4. Step 4: Simplify right side
   82,411x = 32,223,840,100
5. Step 5: Solve for x
   x = 32,223,840,100/82,411
6. Step 6: Final answer
   x = 391,013.82