Finding the Third Proportional to 82,240 and 179,354

Step by Step Solution

1. Step 1: Write the proportion equation
   82,240 : 179,354 = 179,354 : x
2. Step 2: Convert to fraction form
   82,240/179,354 = 179,354/x
3. Step 3: Cross multiply
   82,240x = 179,354 × 179,354
4. Step 4: Simplify right side
   82,240x = 32,167,857,316
5. Step 5: Solve for x
   x = 32,167,857,316/82,240
6. Step 6: Final answer
   x = 391,146.12