Finding the Third Proportional to 82,020.50 and 128,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,020.50 : 128,498.50 = 128,498.50 : x
2. Step 2: Convert to fraction form
   82,020.50/128,498.50 = 128,498.50/x
3. Step 3: Cross multiply
   82,020.50x = 128,498.50 × 128,498.50
4. Step 4: Simplify right side
   82,020.50x = 16,511,864,502.25
5. Step 5: Solve for x
   x = 16,511,864,502.25/82,020.50
6. Step 6: Final answer
   x = 201,313.87