Finding the Third Proportional to 57,540.75 and 123,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,540.75 : 123,076.50 = 123,076.50 : x
2. Step 2: Convert to fraction form
   57,540.75/123,076.50 = 123,076.50/x
3. Step 3: Cross multiply
   57,540.75x = 123,076.50 × 123,076.50
4. Step 4: Simplify right side
   57,540.75x = 15,147,824,852.25
5. Step 5: Solve for x
   x = 15,147,824,852.25/57,540.75
6. Step 6: Final answer
   x = 263,253.87