Finding the Third Proportional to 46,892 and 110,626

Step by Step Solution

1. Step 1: Write the proportion equation
   46,892 : 110,626 = 110,626 : x
2. Step 2: Convert to fraction form
   46,892/110,626 = 110,626/x
3. Step 3: Cross multiply
   46,892x = 110,626 × 110,626
4. Step 4: Simplify right side
   46,892x = 12,238,111,876
5. Step 5: Solve for x
   x = 12,238,111,876/46,892
6. Step 6: Final answer
   x = 260,985.07