Finding the Third Proportional to 56,766 and 123,378

Step by Step Solution

1. Step 1: Write the proportion equation
   56,766 : 123,378 = 123,378 : x
2. Step 2: Convert to fraction form
   56,766/123,378 = 123,378/x
3. Step 3: Cross multiply
   56,766x = 123,378 × 123,378
4. Step 4: Simplify right side
   56,766x = 15,222,130,884
5. Step 5: Solve for x
   x = 15,222,130,884/56,766
6. Step 6: Final answer
   x = 268,155.78