Finding the Third Proportional to 57,600 and 123,183

Step by Step Solution

1. Step 1: Write the proportion equation
   57,600 : 123,183 = 123,183 : x
2. Step 2: Convert to fraction form
   57,600/123,183 = 123,183/x
3. Step 3: Cross multiply
   57,600x = 123,183 × 123,183
4. Step 4: Simplify right side
   57,600x = 15,174,051,489
5. Step 5: Solve for x
   x = 15,174,051,489/57,600
6. Step 6: Final answer
   x = 263,438.39