Finding the Third Proportional to 82,826.50 and 110,350.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,826.50 : 110,350.75 = 110,350.75 : x
2. Step 2: Convert to fraction form
   82,826.50/110,350.75 = 110,350.75/x
3. Step 3: Cross multiply
   82,826.50x = 110,350.75 × 110,350.75
4. Step 4: Simplify right side
   82,826.50x = 12,177,288,025.56
5. Step 5: Solve for x
   x = 12,177,288,025.56/82,826.50
6. Step 6: Final answer
   x = 147,021.64