Finding the Third Proportional to 180,826.50 and 396,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,826.50 : 396,100.50 = 396,100.50 : x
2. Step 2: Convert to fraction form
   180,826.50/396,100.50 = 396,100.50/x
3. Step 3: Cross multiply
   180,826.50x = 396,100.50 × 396,100.50
4. Step 4: Simplify right side
   180,826.50x = 156,895,606,100.25
5. Step 5: Solve for x
   x = 156,895,606,100.25/180,826.50
6. Step 6: Final answer
   x = 867,658.26