Finding the Third Proportional to 56,627 and 123,218

Step by Step Solution

1. Step 1: Write the proportion equation
   56,627 : 123,218 = 123,218 : x
2. Step 2: Convert to fraction form
   56,627/123,218 = 123,218/x
3. Step 3: Cross multiply
   56,627x = 123,218 × 123,218
4. Step 4: Simplify right side
   56,627x = 15,182,675,524
5. Step 5: Solve for x
   x = 15,182,675,524/56,627
6. Step 6: Final answer
   x = 268,117.25