Finding the Third Proportional to 57,663 and 123,018

Step by Step Solution

1. Step 1: Write the proportion equation
   57,663 : 123,018 = 123,018 : x
2. Step 2: Convert to fraction form
   57,663/123,018 = 123,018/x
3. Step 3: Cross multiply
   57,663x = 123,018 × 123,018
4. Step 4: Simplify right side
   57,663x = 15,133,428,324
5. Step 5: Solve for x
   x = 15,133,428,324/57,663
6. Step 6: Final answer
   x = 262,446.08