Finding the Third Proportional to 82,023 and 128,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,023 : 128,500.50 = 128,500.50 : x
2. Step 2: Convert to fraction form
   82,023/128,500.50 = 128,500.50/x
3. Step 3: Cross multiply
   82,023x = 128,500.50 × 128,500.50
4. Step 4: Simplify right side
   82,023x = 16,512,378,500.25
5. Step 5: Solve for x
   x = 16,512,378,500.25/82,023
6. Step 6: Final answer
   x = 201,314.00