Finding the Third Proportional to 82,231 and 176,123

Step by Step Solution

1. Step 1: Write the proportion equation
   82,231 : 176,123 = 176,123 : x
2. Step 2: Convert to fraction form
   82,231/176,123 = 176,123/x
3. Step 3: Cross multiply
   82,231x = 176,123 × 176,123
4. Step 4: Simplify right side
   82,231x = 31,019,311,129
5. Step 5: Solve for x
   x = 31,019,311,129/82,231
6. Step 6: Final answer
   x = 377,221.62