Finding the Third Proportional to 46,831 and 110,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,831 : 110,546.50 = 110,546.50 : x
2. Step 2: Convert to fraction form
   46,831/110,546.50 = 110,546.50/x
3. Step 3: Cross multiply
   46,831x = 110,546.50 × 110,546.50
4. Step 4: Simplify right side
   46,831x = 12,220,528,662.25
5. Step 5: Solve for x
   x = 12,220,528,662.25/46,831
6. Step 6: Final answer
   x = 260,949.56