Finding the Third Proportional to 116,458 and 175,653

Step by Step Solution

1. Step 1: Write the proportion equation
   116,458 : 175,653 = 175,653 : x
2. Step 2: Convert to fraction form
   116,458/175,653 = 175,653/x
3. Step 3: Cross multiply
   116,458x = 175,653 × 175,653
4. Step 4: Simplify right side
   116,458x = 30,853,976,409
5. Step 5: Solve for x
   x = 30,853,976,409/116,458
6. Step 6: Final answer
   x = 264,936.51