Finding the Third Proportional to 82,274 and 178,642

Step by Step Solution

1. Step 1: Write the proportion equation
   82,274 : 178,642 = 178,642 : x
2. Step 2: Convert to fraction form
   82,274/178,642 = 178,642/x
3. Step 3: Cross multiply
   82,274x = 178,642 × 178,642
4. Step 4: Simplify right side
   82,274x = 31,912,964,164
5. Step 5: Solve for x
   x = 31,912,964,164/82,274
6. Step 6: Final answer
   x = 387,886.38