Finding the Third Proportional to 59,796 and 137,823

Step by Step Solution

1. Step 1: Write the proportion equation
   59,796 : 137,823 = 137,823 : x
2. Step 2: Convert to fraction form
   59,796/137,823 = 137,823/x
3. Step 3: Cross multiply
   59,796x = 137,823 × 137,823
4. Step 4: Simplify right side
   59,796x = 18,995,179,329
5. Step 5: Solve for x
   x = 18,995,179,329/59,796
6. Step 6: Final answer
   x = 317,666.39