Finding the Third Proportional to 59,142 and 123,270

Step by Step Solution

1. Step 1: Write the proportion equation
   59,142 : 123,270 = 123,270 : x
2. Step 2: Convert to fraction form
   59,142/123,270 = 123,270/x
3. Step 3: Cross multiply
   59,142x = 123,270 × 123,270
4. Step 4: Simplify right side
   59,142x = 15,195,492,900
5. Step 5: Solve for x
   x = 15,195,492,900/59,142
6. Step 6: Final answer
   x = 256,932.35