Finding the Third Proportional to 46,958.50 and 110,740

Step by Step Solution

1. Step 1: Write the proportion equation
   46,958.50 : 110,740 = 110,740 : x
2. Step 2: Convert to fraction form
   46,958.50/110,740 = 110,740/x
3. Step 3: Cross multiply
   46,958.50x = 110,740 × 110,740
4. Step 4: Simplify right side
   46,958.50x = 12,263,347,600
5. Step 5: Solve for x
   x = 12,263,347,600/46,958.50
6. Step 6: Final answer
   x = 261,152.88