Finding the Third Proportional to 123,077 and 176,002

Step by Step Solution

1. Step 1: Write the proportion equation
   123,077 : 176,002 = 176,002 : x
2. Step 2: Convert to fraction form
   123,077/176,002 = 176,002/x
3. Step 3: Cross multiply
   123,077x = 176,002 × 176,002
4. Step 4: Simplify right side
   123,077x = 30,976,704,004
5. Step 5: Solve for x
   x = 30,976,704,004/123,077
6. Step 6: Final answer
   x = 251,685.56