Finding the Third Proportional to 114,444 and 175,071

Step by Step Solution

1. Step 1: Write the proportion equation
   114,444 : 175,071 = 175,071 : x
2. Step 2: Convert to fraction form
   114,444/175,071 = 175,071/x
3. Step 3: Cross multiply
   114,444x = 175,071 × 175,071
4. Step 4: Simplify right side
   114,444x = 30,649,855,041
5. Step 5: Solve for x
   x = 30,649,855,041/114,444
6. Step 6: Final answer
   x = 267,815.31