Finding the Third Proportional to 105,537.75 and 175,560

Step by Step Solution

1. Step 1: Write the proportion equation
   105,537.75 : 175,560 = 175,560 : x
2. Step 2: Convert to fraction form
   105,537.75/175,560 = 175,560/x
3. Step 3: Cross multiply
   105,537.75x = 175,560 × 175,560
4. Step 4: Simplify right side
   105,537.75x = 30,821,313,600
5. Step 5: Solve for x
   x = 30,821,313,600/105,537.75
6. Step 6: Final answer
   x = 292,040.65