Finding the Third Proportional to 82,240 and 179,328

Step by Step Solution

1. Step 1: Write the proportion equation
   82,240 : 179,328 = 179,328 : x
2. Step 2: Convert to fraction form
   82,240/179,328 = 179,328/x
3. Step 3: Cross multiply
   82,240x = 179,328 × 179,328
4. Step 4: Simplify right side
   82,240x = 32,158,531,584
5. Step 5: Solve for x
   x = 32,158,531,584/82,240
6. Step 6: Final answer
   x = 391,032.73