Finding the Third Proportional to 116,857 and 175,087

Step by Step Solution

1. Step 1: Write the proportion equation
   116,857 : 175,087 = 175,087 : x
2. Step 2: Convert to fraction form
   116,857/175,087 = 175,087/x
3. Step 3: Cross multiply
   116,857x = 175,087 × 175,087
4. Step 4: Simplify right side
   116,857x = 30,655,457,569
5. Step 5: Solve for x
   x = 30,655,457,569/116,857
6. Step 6: Final answer
   x = 262,333.09