Finding the Third Proportional to 82,284 and 179,435

Step by Step Solution

1. Step 1: Write the proportion equation
   82,284 : 179,435 = 179,435 : x
2. Step 2: Convert to fraction form
   82,284/179,435 = 179,435/x
3. Step 3: Cross multiply
   82,284x = 179,435 × 179,435
4. Step 4: Simplify right side
   82,284x = 32,196,919,225
5. Step 5: Solve for x
   x = 32,196,919,225/82,284
6. Step 6: Final answer
   x = 391,290.16