Finding the Third Proportional to 82,476 and 128,025

Step by Step Solution

1. Step 1: Write the proportion equation
   82,476 : 128,025 = 128,025 : x
2. Step 2: Convert to fraction form
   82,476/128,025 = 128,025/x
3. Step 3: Cross multiply
   82,476x = 128,025 × 128,025
4. Step 4: Simplify right side
   82,476x = 16,390,400,625
5. Step 5: Solve for x
   x = 16,390,400,625/82,476
6. Step 6: Final answer
   x = 198,729.33