Finding the Third Proportional to 82,716 and 175,182

Step by Step Solution

1. Step 1: Write the proportion equation
   82,716 : 175,182 = 175,182 : x
2. Step 2: Convert to fraction form
   82,716/175,182 = 175,182/x
3. Step 3: Cross multiply
   82,716x = 175,182 × 175,182
4. Step 4: Simplify right side
   82,716x = 30,688,733,124
5. Step 5: Solve for x
   x = 30,688,733,124/82,716
6. Step 6: Final answer
   x = 371,013.26