Finding the Third Proportional to 59,076 and 127,541.25

Step by Step Solution

1. Step 1: Write the proportion equation
   59,076 : 127,541.25 = 127,541.25 : x
2. Step 2: Convert to fraction form
   59,076/127,541.25 = 127,541.25/x
3. Step 3: Cross multiply
   59,076x = 127,541.25 × 127,541.25
4. Step 4: Simplify right side
   59,076x = 16,266,770,451.56
5. Step 5: Solve for x
   x = 16,266,770,451.56/59,076
6. Step 6: Final answer
   x = 275,353.28