Finding the Third Proportional to 82,236 and 176,184

Step by Step Solution

1. Step 1: Write the proportion equation
   82,236 : 176,184 = 176,184 : x
2. Step 2: Convert to fraction form
   82,236/176,184 = 176,184/x
3. Step 3: Cross multiply
   82,236x = 176,184 × 176,184
4. Step 4: Simplify right side
   82,236x = 31,040,801,856
5. Step 5: Solve for x
   x = 31,040,801,856/82,236
6. Step 6: Final answer
   x = 377,460.02