Finding the Third Proportional to 82,674 and 178,443

Step by Step Solution

1. Step 1: Write the proportion equation
   82,674 : 178,443 = 178,443 : x
2. Step 2: Convert to fraction form
   82,674/178,443 = 178,443/x
3. Step 3: Cross multiply
   82,674x = 178,443 × 178,443
4. Step 4: Simplify right side
   82,674x = 31,841,904,249
5. Step 5: Solve for x
   x = 31,841,904,249/82,674
6. Step 6: Final answer
   x = 385,150.16