Finding the Third Proportional to 57,583 and 123,912

Step by Step Solution

1. Step 1: Write the proportion equation
   57,583 : 123,912 = 123,912 : x
2. Step 2: Convert to fraction form
   57,583/123,912 = 123,912/x
3. Step 3: Cross multiply
   57,583x = 123,912 × 123,912
4. Step 4: Simplify right side
   57,583x = 15,354,183,744
5. Step 5: Solve for x
   x = 15,354,183,744/57,583
6. Step 6: Final answer
   x = 266,644.39