Finding the Third Proportional to 82,354 and 179,768

Step by Step Solution

1. Step 1: Write the proportion equation
   82,354 : 179,768 = 179,768 : x
2. Step 2: Convert to fraction form
   82,354/179,768 = 179,768/x
3. Step 3: Cross multiply
   82,354x = 179,768 × 179,768
4. Step 4: Simplify right side
   82,354x = 32,316,533,824
5. Step 5: Solve for x
   x = 32,316,533,824/82,354
6. Step 6: Final answer
   x = 392,410.01