Finding the Third Proportional to 56,280 and 123,016

Step by Step Solution

1. Step 1: Write the proportion equation
   56,280 : 123,016 = 123,016 : x
2. Step 2: Convert to fraction form
   56,280/123,016 = 123,016/x
3. Step 3: Cross multiply
   56,280x = 123,016 × 123,016
4. Step 4: Simplify right side
   56,280x = 15,132,936,256
5. Step 5: Solve for x
   x = 15,132,936,256/56,280
6. Step 6: Final answer
   x = 268,886.57