Finding the Third Proportional to 57,128 and 123,760

Step by Step Solution

1. Step 1: Write the proportion equation
   57,128 : 123,760 = 123,760 : x
2. Step 2: Convert to fraction form
   57,128/123,760 = 123,760/x
3. Step 3: Cross multiply
   57,128x = 123,760 × 123,760
4. Step 4: Simplify right side
   57,128x = 15,316,537,600
5. Step 5: Solve for x
   x = 15,316,537,600/57,128
6. Step 6: Final answer
   x = 268,109.12