Finding the Third Proportional to 82,451.81 and 180,684.56

Step by Step Solution

1. Step 1: Write the proportion equation
   82,451.81 : 180,684.56 = 180,684.56 : x
2. Step 2: Convert to fraction form
   82,451.81/180,684.56 = 180,684.56/x
3. Step 3: Cross multiply
   82,451.81x = 180,684.56 × 180,684.56
4. Step 4: Simplify right side
   82,451.81x = 32,646,911,125.82
5. Step 5: Solve for x
   x = 32,646,911,125.82/82,451.81
6. Step 6: Final answer
   x = 395,951.41