Finding the Third Proportional to 119,002 and 171,951

Step by Step Solution

1. Step 1: Write the proportion equation
   119,002 : 171,951 = 171,951 : x
2. Step 2: Convert to fraction form
   119,002/171,951 = 171,951/x
3. Step 3: Cross multiply
   119,002x = 171,951 × 171,951
4. Step 4: Simplify right side
   119,002x = 29,567,146,401
5. Step 5: Solve for x
   x = 29,567,146,401/119,002
6. Step 6: Final answer
   x = 248,459.24