Finding the Third Proportional to 79,760 and 123,854

Step by Step Solution

1. Step 1: Write the proportion equation
   79,760 : 123,854 = 123,854 : x
2. Step 2: Convert to fraction form
   79,760/123,854 = 123,854/x
3. Step 3: Cross multiply
   79,760x = 123,854 × 123,854
4. Step 4: Simplify right side
   79,760x = 15,339,813,316
5. Step 5: Solve for x
   x = 15,339,813,316/79,760
6. Step 6: Final answer
   x = 192,324.64