Finding the Third Proportional to 119,162 and 177,123

Step by Step Solution

1. Step 1: Write the proportion equation
   119,162 : 177,123 = 177,123 : x
2. Step 2: Convert to fraction form
   119,162/177,123 = 177,123/x
3. Step 3: Cross multiply
   119,162x = 177,123 × 177,123
4. Step 4: Simplify right side
   119,162x = 31,372,557,129
5. Step 5: Solve for x
   x = 31,372,557,129/119,162
6. Step 6: Final answer
   x = 263,276.52