Finding the Third Proportional to 85,996 and 123,867

Step by Step Solution

1. Step 1: Write the proportion equation
   85,996 : 123,867 = 123,867 : x
2. Step 2: Convert to fraction form
   85,996/123,867 = 123,867/x
3. Step 3: Cross multiply
   85,996x = 123,867 × 123,867
4. Step 4: Simplify right side
   85,996x = 15,343,033,689
5. Step 5: Solve for x
   x = 15,343,033,689/85,996
6. Step 6: Final answer
   x = 178,415.67