Finding the Third Proportional to 82,084 and 175,832

Step by Step Solution

1. Step 1: Write the proportion equation
   82,084 : 175,832 = 175,832 : x
2. Step 2: Convert to fraction form
   82,084/175,832 = 175,832/x
3. Step 3: Cross multiply
   82,084x = 175,832 × 175,832
4. Step 4: Simplify right side
   82,084x = 30,916,892,224
5. Step 5: Solve for x
   x = 30,916,892,224/82,084
6. Step 6: Final answer
   x = 376,649.44