Finding the Third Proportional to 115,792.50 and 173,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,792.50 : 173,965.50 = 173,965.50 : x
2. Step 2: Convert to fraction form
   115,792.50/173,965.50 = 173,965.50/x
3. Step 3: Cross multiply
   115,792.50x = 173,965.50 × 173,965.50
4. Step 4: Simplify right side
   115,792.50x = 30,263,995,190.25
5. Step 5: Solve for x
   x = 30,263,995,190.25/115,792.50
6. Step 6: Final answer
   x = 261,364.04