Finding the Third Proportional to 82,025 and 178,279

Step by Step Solution

1. Step 1: Write the proportion equation
   82,025 : 178,279 = 178,279 : x
2. Step 2: Convert to fraction form
   82,025/178,279 = 178,279/x
3. Step 3: Cross multiply
   82,025x = 178,279 × 178,279
4. Step 4: Simplify right side
   82,025x = 31,783,401,841
5. Step 5: Solve for x
   x = 31,783,401,841/82,025
6. Step 6: Final answer
   x = 387,484.33