Finding the Third Proportional to 57,122 and 123,778

Step by Step Solution

1. Step 1: Write the proportion equation
   57,122 : 123,778 = 123,778 : x
2. Step 2: Convert to fraction form
   57,122/123,778 = 123,778/x
3. Step 3: Cross multiply
   57,122x = 123,778 × 123,778
4. Step 4: Simplify right side
   57,122x = 15,320,993,284
5. Step 5: Solve for x
   x = 15,320,993,284/57,122
6. Step 6: Final answer
   x = 268,215.28