Finding the Third Proportional to 123,568 and 251,516

Step by Step Solution

1. Step 1: Write the proportion equation
   123,568 : 251,516 = 251,516 : x
2. Step 2: Convert to fraction form
   123,568/251,516 = 251,516/x
3. Step 3: Cross multiply
   123,568x = 251,516 × 251,516
4. Step 4: Simplify right side
   123,568x = 63,260,298,256
5. Step 5: Solve for x
   x = 63,260,298,256/123,568
6. Step 6: Final answer
   x = 511,947.25