Finding the Third Proportional to 46,958.50 and 110,738

Step by Step Solution

1. Step 1: Write the proportion equation
   46,958.50 : 110,738 = 110,738 : x
2. Step 2: Convert to fraction form
   46,958.50/110,738 = 110,738/x
3. Step 3: Cross multiply
   46,958.50x = 110,738 × 110,738
4. Step 4: Simplify right side
   46,958.50x = 12,262,904,644
5. Step 5: Solve for x
   x = 12,262,904,644/46,958.50
6. Step 6: Final answer
   x = 261,143.45