Finding the Third Proportional to 57,420 and 123,144

Step by Step Solution

1. Step 1: Write the proportion equation
   57,420 : 123,144 = 123,144 : x
2. Step 2: Convert to fraction form
   57,420/123,144 = 123,144/x
3. Step 3: Cross multiply
   57,420x = 123,144 × 123,144
4. Step 4: Simplify right side
   57,420x = 15,164,444,736
5. Step 5: Solve for x
   x = 15,164,444,736/57,420
6. Step 6: Final answer
   x = 264,096.91