Finding the Third Proportional to 82,863 and 179,728.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82,863 : 179,728.88 = 179,728.88 : x
2. Step 2: Convert to fraction form
   82,863/179,728.88 = 179,728.88/x
3. Step 3: Cross multiply
   82,863x = 179,728.88 × 179,728.88
4. Step 4: Simplify right side
   82,863x = 32,302,468,508.77
5. Step 5: Solve for x
   x = 32,302,468,508.77/82,863
6. Step 6: Final answer
   x = 389,829.82