Finding the Third Proportional to 82,896 and 179,037

Step by Step Solution

1. Step 1: Write the proportion equation
   82,896 : 179,037 = 179,037 : x
2. Step 2: Convert to fraction form
   82,896/179,037 = 179,037/x
3. Step 3: Cross multiply
   82,896x = 179,037 × 179,037
4. Step 4: Simplify right side
   82,896x = 32,054,247,369
5. Step 5: Solve for x
   x = 32,054,247,369/82,896
6. Step 6: Final answer
   x = 386,680.27