Finding the Third Proportional to 82,015.88 and 128,491.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82,015.88 : 128,491.31 = 128,491.31 : x
2. Step 2: Convert to fraction form
   82,015.88/128,491.31 = 128,491.31/x
3. Step 3: Cross multiply
   82,015.88x = 128,491.31 × 128,491.31
4. Step 4: Simplify right side
   82,015.88x = 16,510,017,387.97
5. Step 5: Solve for x
   x = 16,510,017,387.97/82,015.88
6. Step 6: Final answer
   x = 201,302.70