Finding the Third Proportional to 82,660.50 and 180,083.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,660.50 : 180,083.25 = 180,083.25 : x
2. Step 2: Convert to fraction form
   82,660.50/180,083.25 = 180,083.25/x
3. Step 3: Cross multiply
   82,660.50x = 180,083.25 × 180,083.25
4. Step 4: Simplify right side
   82,660.50x = 32,429,976,930.56
5. Step 5: Solve for x
   x = 32,429,976,930.56/82,660.50
6. Step 6: Final answer
   x = 392,327.37