Finding the Third Proportional to 116,449 and 175,257

Step by Step Solution

1. Step 1: Write the proportion equation
   116,449 : 175,257 = 175,257 : x
2. Step 2: Convert to fraction form
   116,449/175,257 = 175,257/x
3. Step 3: Cross multiply
   116,449x = 175,257 × 175,257
4. Step 4: Simplify right side
   116,449x = 30,715,016,049
5. Step 5: Solve for x
   x = 30,715,016,049/116,449
6. Step 6: Final answer
   x = 263,763.67