Finding the Third Proportional to 114,268 and 175,290

Step by Step Solution

1. Step 1: Write the proportion equation
   114,268 : 175,290 = 175,290 : x
2. Step 2: Convert to fraction form
   114,268/175,290 = 175,290/x
3. Step 3: Cross multiply
   114,268x = 175,290 × 175,290
4. Step 4: Simplify right side
   114,268x = 30,726,584,100
5. Step 5: Solve for x
   x = 30,726,584,100/114,268
6. Step 6: Final answer
   x = 268,899.29