Finding the Third Proportional to 123,264 and 176,145

Step by Step Solution

1. Step 1: Write the proportion equation
   123,264 : 176,145 = 176,145 : x
2. Step 2: Convert to fraction form
   123,264/176,145 = 176,145/x
3. Step 3: Cross multiply
   123,264x = 176,145 × 176,145
4. Step 4: Simplify right side
   123,264x = 31,027,061,025
5. Step 5: Solve for x
   x = 31,027,061,025/123,264
6. Step 6: Final answer
   x = 251,712.27