Finding the Third Proportional to 82,123 and 176,908

Step by Step Solution

1. Step 1: Write the proportion equation
   82,123 : 176,908 = 176,908 : x
2. Step 2: Convert to fraction form
   82,123/176,908 = 176,908/x
3. Step 3: Cross multiply
   82,123x = 176,908 × 176,908
4. Step 4: Simplify right side
   82,123x = 31,296,440,464
5. Step 5: Solve for x
   x = 31,296,440,464/82,123
6. Step 6: Final answer
   x = 381,092.27