Finding the Third Proportional to 46,865 and 110,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,865 : 110,626.50 = 110,626.50 : x
2. Step 2: Convert to fraction form
   46,865/110,626.50 = 110,626.50/x
3. Step 3: Cross multiply
   46,865x = 110,626.50 × 110,626.50
4. Step 4: Simplify right side
   46,865x = 12,238,222,502.25
5. Step 5: Solve for x
   x = 12,238,222,502.25/46,865
6. Step 6: Final answer
   x = 261,137.79