Finding the Third Proportional to 57,540 and 123,076

Step by Step Solution

1. Step 1: Write the proportion equation
   57,540 : 123,076 = 123,076 : x
2. Step 2: Convert to fraction form
   57,540/123,076 = 123,076/x
3. Step 3: Cross multiply
   57,540x = 123,076 × 123,076
4. Step 4: Simplify right side
   57,540x = 15,147,701,776
5. Step 5: Solve for x
   x = 15,147,701,776/57,540
6. Step 6: Final answer
   x = 263,255.16