Finding the Third Proportional to 123,869 and 267,610

Step by Step Solution

1. Step 1: Write the proportion equation
   123,869 : 267,610 = 267,610 : x
2. Step 2: Convert to fraction form
   123,869/267,610 = 267,610/x
3. Step 3: Cross multiply
   123,869x = 267,610 × 267,610
4. Step 4: Simplify right side
   123,869x = 71,615,112,100
5. Step 5: Solve for x
   x = 71,615,112,100/123,869
6. Step 6: Final answer
   x = 578,152.02