Finding the Third Proportional to 177,231 and 269,123

Step by Step Solution

1. Step 1: Write the proportion equation
   177,231 : 269,123 = 269,123 : x
2. Step 2: Convert to fraction form
   177,231/269,123 = 269,123/x
3. Step 3: Cross multiply
   177,231x = 269,123 × 269,123
4. Step 4: Simplify right side
   177,231x = 72,427,189,129
5. Step 5: Solve for x
   x = 72,427,189,129/177,231
6. Step 6: Final answer
   x = 408,659.82