Finding the Third Proportional to 123,080 and 176,007

Step by Step Solution

1. Step 1: Write the proportion equation
   123,080 : 176,007 = 176,007 : x
2. Step 2: Convert to fraction form
   123,080/176,007 = 176,007/x
3. Step 3: Cross multiply
   123,080x = 176,007 × 176,007
4. Step 4: Simplify right side
   123,080x = 30,978,464,049
5. Step 5: Solve for x
   x = 30,978,464,049/123,080
6. Step 6: Final answer
   x = 251,693.73