Finding the Third Proportional to 82,454 and 178,028

Step by Step Solution

1. Step 1: Write the proportion equation
   82,454 : 178,028 = 178,028 : x
2. Step 2: Convert to fraction form
   82,454/178,028 = 178,028/x
3. Step 3: Cross multiply
   82,454x = 178,028 × 178,028
4. Step 4: Simplify right side
   82,454x = 31,693,968,784
5. Step 5: Solve for x
   x = 31,693,968,784/82,454
6. Step 6: Final answer
   x = 384,383.64