Finding the Third Proportional to 116,874 and 175,312

Step by Step Solution

1. Step 1: Write the proportion equation
   116,874 : 175,312 = 175,312 : x
2. Step 2: Convert to fraction form
   116,874/175,312 = 175,312/x
3. Step 3: Cross multiply
   116,874x = 175,312 × 175,312
4. Step 4: Simplify right side
   116,874x = 30,734,297,344
5. Step 5: Solve for x
   x = 30,734,297,344/116,874
6. Step 6: Final answer
   x = 262,969.50