Finding the Third Proportional to 85,891 and 123,709

Step by Step Solution

1. Step 1: Write the proportion equation
   85,891 : 123,709 = 123,709 : x
2. Step 2: Convert to fraction form
   85,891/123,709 = 123,709/x
3. Step 3: Cross multiply
   85,891x = 123,709 × 123,709
4. Step 4: Simplify right side
   85,891x = 15,303,916,681
5. Step 5: Solve for x
   x = 15,303,916,681/85,891
6. Step 6: Final answer
   x = 178,178.35