Finding the Third Proportional to 123,256 and 176,134

Step by Step Solution

1. Step 1: Write the proportion equation
   123,256 : 176,134 = 176,134 : x
2. Step 2: Convert to fraction form
   123,256/176,134 = 176,134/x
3. Step 3: Cross multiply
   123,256x = 176,134 × 176,134
4. Step 4: Simplify right side
   123,256x = 31,023,185,956
5. Step 5: Solve for x
   x = 31,023,185,956/123,256
6. Step 6: Final answer
   x = 251,697.17