Finding the Third Proportional to 123,867 and 267,606

Step by Step Solution

1. Step 1: Write the proportion equation
   123,867 : 267,606 = 267,606 : x
2. Step 2: Convert to fraction form
   123,867/267,606 = 267,606/x
3. Step 3: Cross multiply
   123,867x = 267,606 × 267,606
4. Step 4: Simplify right side
   123,867x = 71,612,971,236
5. Step 5: Solve for x
   x = 71,612,971,236/123,867
6. Step 6: Final answer
   x = 578,144.07