Finding the Third Proportional to 56,019 and 123,080

Step by Step Solution

1. Step 1: Write the proportion equation
   56,019 : 123,080 = 123,080 : x
2. Step 2: Convert to fraction form
   56,019/123,080 = 123,080/x
3. Step 3: Cross multiply
   56,019x = 123,080 × 123,080
4. Step 4: Simplify right side
   56,019x = 15,148,686,400
5. Step 5: Solve for x
   x = 15,148,686,400/56,019
6. Step 6: Final answer
   x = 270,420.51