Finding the Third Proportional to 57,420 and 123,142

Step by Step Solution

1. Step 1: Write the proportion equation
   57,420 : 123,142 = 123,142 : x
2. Step 2: Convert to fraction form
   57,420/123,142 = 123,142/x
3. Step 3: Cross multiply
   57,420x = 123,142 × 123,142
4. Step 4: Simplify right side
   57,420x = 15,163,952,164
5. Step 5: Solve for x
   x = 15,163,952,164/57,420
6. Step 6: Final answer
   x = 264,088.33