Finding the Third Proportional to 82,042 and 178,908

Step by Step Solution

1. Step 1: Write the proportion equation
   82,042 : 178,908 = 178,908 : x
2. Step 2: Convert to fraction form
   82,042/178,908 = 178,908/x
3. Step 3: Cross multiply
   82,042x = 178,908 × 178,908
4. Step 4: Simplify right side
   82,042x = 32,008,072,464
5. Step 5: Solve for x
   x = 32,008,072,464/82,042
6. Step 6: Final answer
   x = 390,142.52