Finding the Third Proportional to 82,539 and 128,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,539 : 128,749.50 = 128,749.50 : x
2. Step 2: Convert to fraction form
   82,539/128,749.50 = 128,749.50/x
3. Step 3: Cross multiply
   82,539x = 128,749.50 × 128,749.50
4. Step 4: Simplify right side
   82,539x = 16,576,433,750.25
5. Step 5: Solve for x
   x = 16,576,433,750.25/82,539
6. Step 6: Final answer
   x = 200,831.53