Finding the Third Proportional to 114,467 and 175,103

Step by Step Solution

1. Step 1: Write the proportion equation
   114,467 : 175,103 = 175,103 : x
2. Step 2: Convert to fraction form
   114,467/175,103 = 175,103/x
3. Step 3: Cross multiply
   114,467x = 175,103 × 175,103
4. Step 4: Simplify right side
   114,467x = 30,661,060,609
5. Step 5: Solve for x
   x = 30,661,060,609/114,467
6. Step 6: Final answer
   x = 267,859.39