Finding the Third Proportional to 59,620 and 123,080

Step by Step Solution

1. Step 1: Write the proportion equation
   59,620 : 123,080 = 123,080 : x
2. Step 2: Convert to fraction form
   59,620/123,080 = 123,080/x
3. Step 3: Cross multiply
   59,620x = 123,080 × 123,080
4. Step 4: Simplify right side
   59,620x = 15,148,686,400
5. Step 5: Solve for x
   x = 15,148,686,400/59,620
6. Step 6: Final answer
   x = 254,087.33