Finding the Third Proportional to 116,469 and 175,811

Step by Step Solution

1. Step 1: Write the proportion equation
   116,469 : 175,811 = 175,811 : x
2. Step 2: Convert to fraction form
   116,469/175,811 = 175,811/x
3. Step 3: Cross multiply
   116,469x = 175,811 × 175,811
4. Step 4: Simplify right side
   116,469x = 30,909,507,721
5. Step 5: Solve for x
   x = 30,909,507,721/116,469
6. Step 6: Final answer
   x = 265,388.28