Finding the Third Proportional to 116,471 and 175,814

Step by Step Solution

1. Step 1: Write the proportion equation
   116,471 : 175,814 = 175,814 : x
2. Step 2: Convert to fraction form
   116,471/175,814 = 175,814/x
3. Step 3: Cross multiply
   116,471x = 175,814 × 175,814
4. Step 4: Simplify right side
   116,471x = 30,910,562,596
5. Step 5: Solve for x
   x = 30,910,562,596/116,471
6. Step 6: Final answer
   x = 265,392.78