Finding the Third Proportional to 123,082 and 176,010

Step by Step Solution

1. Step 1: Write the proportion equation
   123,082 : 176,010 = 176,010 : x
2. Step 2: Convert to fraction form
   123,082/176,010 = 176,010/x
3. Step 3: Cross multiply
   123,082x = 176,010 × 176,010
4. Step 4: Simplify right side
   123,082x = 30,979,520,100
5. Step 5: Solve for x
   x = 30,979,520,100/123,082
6. Step 6: Final answer
   x = 251,698.22