Finding the Third Proportional to 82,863.75 and 180,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,863.75 : 180,493.50 = 180,493.50 : x
2. Step 2: Convert to fraction form
   82,863.75/180,493.50 = 180,493.50/x
3. Step 3: Cross multiply
   82,863.75x = 180,493.50 × 180,493.50
4. Step 4: Simplify right side
   82,863.75x = 32,577,903,542.25
5. Step 5: Solve for x
   x = 32,577,903,542.25/82,863.75
6. Step 6: Final answer
   x = 393,150.24