Finding the Third Proportional to 116,643 and 175,055

Step by Step Solution

1. Step 1: Write the proportion equation
   116,643 : 175,055 = 175,055 : x
2. Step 2: Convert to fraction form
   116,643/175,055 = 175,055/x
3. Step 3: Cross multiply
   116,643x = 175,055 × 175,055
4. Step 4: Simplify right side
   116,643x = 30,644,253,025
5. Step 5: Solve for x
   x = 30,644,253,025/116,643
6. Step 6: Final answer
   x = 262,718.32