Finding the Third Proportional to 85,839 and 123,837

Step by Step Solution

1. Step 1: Write the proportion equation
   85,839 : 123,837 = 123,837 : x
2. Step 2: Convert to fraction form
   85,839/123,837 = 123,837/x
3. Step 3: Cross multiply
   85,839x = 123,837 × 123,837
4. Step 4: Simplify right side
   85,839x = 15,335,602,569
5. Step 5: Solve for x
   x = 15,335,602,569/85,839
6. Step 6: Final answer
   x = 178,655.42