Finding the Third Proportional to 82,200 and 179,294

Step by Step Solution

1. Step 1: Write the proportion equation
   82,200 : 179,294 = 179,294 : x
2. Step 2: Convert to fraction form
   82,200/179,294 = 179,294/x
3. Step 3: Cross multiply
   82,200x = 179,294 × 179,294
4. Step 4: Simplify right side
   82,200x = 32,146,338,436
5. Step 5: Solve for x
   x = 32,146,338,436/82,200
6. Step 6: Final answer
   x = 391,074.68