Finding the Third Proportional to 46,808 and 111,920

Step by Step Solution

1. Step 1: Write the proportion equation
   46,808 : 111,920 = 111,920 : x
2. Step 2: Convert to fraction form
   46,808/111,920 = 111,920/x
3. Step 3: Cross multiply
   46,808x = 111,920 × 111,920
4. Step 4: Simplify right side
   46,808x = 12,526,086,400
5. Step 5: Solve for x
   x = 12,526,086,400/46,808
6. Step 6: Final answer
   x = 267,605.67