Finding the Third Proportional to 46,960 and 110,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,960 : 110,743.50 = 110,743.50 : x
2. Step 2: Convert to fraction form
   46,960/110,743.50 = 110,743.50/x
3. Step 3: Cross multiply
   46,960x = 110,743.50 × 110,743.50
4. Step 4: Simplify right side
   46,960x = 12,264,122,792.25
5. Step 5: Solve for x
   x = 12,264,122,792.25/46,960
6. Step 6: Final answer
   x = 261,161.05