Finding the Third Proportional to 57,741 and 120,018

Step by Step Solution

1. Step 1: Write the proportion equation
   57,741 : 120,018 = 120,018 : x
2. Step 2: Convert to fraction form
   57,741/120,018 = 120,018/x
3. Step 3: Cross multiply
   57,741x = 120,018 × 120,018
4. Step 4: Simplify right side
   57,741x = 14,404,320,324
5. Step 5: Solve for x
   x = 14,404,320,324/57,741
6. Step 6: Final answer
   x = 249,464.34