Finding the Third Proportional to 113,647.50 and 175,965.75

Step by Step Solution

1. Step 1: Write the proportion equation
   113,647.50 : 175,965.75 = 175,965.75 : x
2. Step 2: Convert to fraction form
   113,647.50/175,965.75 = 175,965.75/x
3. Step 3: Cross multiply
   113,647.50x = 175,965.75 × 175,965.75
4. Step 4: Simplify right side
   113,647.50x = 30,963,945,173.06
5. Step 5: Solve for x
   x = 30,963,945,173.06/113,647.50
6. Step 6: Final answer
   x = 272,456.02