Finding the Third Proportional to 123,174 and 176,127.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,174 : 176,127.75 = 176,127.75 : x
2. Step 2: Convert to fraction form
   123,174/176,127.75 = 176,127.75/x
3. Step 3: Cross multiply
   123,174x = 176,127.75 × 176,127.75
4. Step 4: Simplify right side
   123,174x = 31,020,984,320.06
5. Step 5: Solve for x
   x = 31,020,984,320.06/123,174
6. Step 6: Final answer
   x = 251,846.85