Finding the Third Proportional to 57,146 and 123,826

Step by Step Solution

1. Step 1: Write the proportion equation
   57,146 : 123,826 = 123,826 : x
2. Step 2: Convert to fraction form
   57,146/123,826 = 123,826/x
3. Step 3: Cross multiply
   57,146x = 123,826 × 123,826
4. Step 4: Simplify right side
   57,146x = 15,332,878,276
5. Step 5: Solve for x
   x = 15,332,878,276/57,146
6. Step 6: Final answer
   x = 268,310.61