Finding the Third Proportional to 114,011 and 175,499

Step by Step Solution

1. Step 1: Write the proportion equation
   114,011 : 175,499 = 175,499 : x
2. Step 2: Convert to fraction form
   114,011/175,499 = 175,499/x
3. Step 3: Cross multiply
   114,011x = 175,499 × 175,499
4. Step 4: Simplify right side
   114,011x = 30,799,899,001
5. Step 5: Solve for x
   x = 30,799,899,001/114,011
6. Step 6: Final answer
   x = 270,148.49