Finding the Third Proportional to 115,074 and 175,014

Step by Step Solution

1. Step 1: Write the proportion equation
   115,074 : 175,014 = 175,014 : x
2. Step 2: Convert to fraction form
   115,074/175,014 = 175,014/x
3. Step 3: Cross multiply
   115,074x = 175,014 × 175,014
4. Step 4: Simplify right side
   115,074x = 30,629,900,196
5. Step 5: Solve for x
   x = 30,629,900,196/115,074
6. Step 6: Final answer
   x = 266,175.68