Finding the Third Proportional to 57,370 and 123,529

Step by Step Solution

1. Step 1: Write the proportion equation
   57,370 : 123,529 = 123,529 : x
2. Step 2: Convert to fraction form
   57,370/123,529 = 123,529/x
3. Step 3: Cross multiply
   57,370x = 123,529 × 123,529
4. Step 4: Simplify right side
   57,370x = 15,259,413,841
5. Step 5: Solve for x
   x = 15,259,413,841/57,370
6. Step 6: Final answer
   x = 265,982.46