Finding the Third Proportional to 116,829.75 and 175,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,829.75 : 175,046.50 = 175,046.50 : x
2. Step 2: Convert to fraction form
   116,829.75/175,046.50 = 175,046.50/x
3. Step 3: Cross multiply
   116,829.75x = 175,046.50 × 175,046.50
4. Step 4: Simplify right side
   116,829.75x = 30,641,277,162.25
5. Step 5: Solve for x
   x = 30,641,277,162.25/116,829.75
6. Step 6: Final answer
   x = 262,272.90