Finding the Third Proportional to 57,128 and 123,026

Step by Step Solution

1. Step 1: Write the proportion equation
   57,128 : 123,026 = 123,026 : x
2. Step 2: Convert to fraction form
   57,128/123,026 = 123,026/x
3. Step 3: Cross multiply
   57,128x = 123,026 × 123,026
4. Step 4: Simplify right side
   57,128x = 15,135,396,676
5. Step 5: Solve for x
   x = 15,135,396,676/57,128
6. Step 6: Final answer
   x = 264,938.33