Finding the Third Proportional to 82,654 and 179,044

Step by Step Solution

1. Step 1: Write the proportion equation
   82,654 : 179,044 = 179,044 : x
2. Step 2: Convert to fraction form
   82,654/179,044 = 179,044/x
3. Step 3: Cross multiply
   82,654x = 179,044 × 179,044
4. Step 4: Simplify right side
   82,654x = 32,056,753,936
5. Step 5: Solve for x
   x = 32,056,753,936/82,654
6. Step 6: Final answer
   x = 387,842.74