Finding the Third Proportional to 46,286 and 111,564

Step by Step Solution

1. Step 1: Write the proportion equation
   46,286 : 111,564 = 111,564 : x
2. Step 2: Convert to fraction form
   46,286/111,564 = 111,564/x
3. Step 3: Cross multiply
   46,286x = 111,564 × 111,564
4. Step 4: Simplify right side
   46,286x = 12,446,526,096
5. Step 5: Solve for x
   x = 12,446,526,096/46,286
6. Step 6: Final answer
   x = 268,904.77