Finding the Third Proportional to 82,122 and 178,185

Step by Step Solution

1. Step 1: Write the proportion equation
   82,122 : 178,185 = 178,185 : x
2. Step 2: Convert to fraction form
   82,122/178,185 = 178,185/x
3. Step 3: Cross multiply
   82,122x = 178,185 × 178,185
4. Step 4: Simplify right side
   82,122x = 31,749,894,225
5. Step 5: Solve for x
   x = 31,749,894,225/82,122
6. Step 6: Final answer
   x = 386,618.62