Finding the Third Proportional to 57,569 and 123,886

Step by Step Solution

1. Step 1: Write the proportion equation
   57,569 : 123,886 = 123,886 : x
2. Step 2: Convert to fraction form
   57,569/123,886 = 123,886/x
3. Step 3: Cross multiply
   57,569x = 123,886 × 123,886
4. Step 4: Simplify right side
   57,569x = 15,347,740,996
5. Step 5: Solve for x
   x = 15,347,740,996/57,569
6. Step 6: Final answer
   x = 266,597.32