Finding the Third Proportional to 82,874 and 178,852

Step by Step Solution

1. Step 1: Write the proportion equation
   82,874 : 178,852 = 178,852 : x
2. Step 2: Convert to fraction form
   82,874/178,852 = 178,852/x
3. Step 3: Cross multiply
   82,874x = 178,852 × 178,852
4. Step 4: Simplify right side
   82,874x = 31,988,037,904
5. Step 5: Solve for x
   x = 31,988,037,904/82,874
6. Step 6: Final answer
   x = 385,984.00