Finding the Third Proportional to 175,524 and 251,002

Step by Step Solution

1. Step 1: Write the proportion equation
   175,524 : 251,002 = 251,002 : x
2. Step 2: Convert to fraction form
   175,524/251,002 = 251,002/x
3. Step 3: Cross multiply
   175,524x = 251,002 × 251,002
4. Step 4: Simplify right side
   175,524x = 63,002,004,004
5. Step 5: Solve for x
   x = 63,002,004,004/175,524
6. Step 6: Final answer
   x = 358,936.69