Finding the Third Proportional to 57,541 and 123,078

Step by Step Solution

1. Step 1: Write the proportion equation
   57,541 : 123,078 = 123,078 : x
2. Step 2: Convert to fraction form
   57,541/123,078 = 123,078/x
3. Step 3: Cross multiply
   57,541x = 123,078 × 123,078
4. Step 4: Simplify right side
   57,541x = 15,148,194,084
5. Step 5: Solve for x
   x = 15,148,194,084/57,541
6. Step 6: Final answer
   x = 263,259.14