Finding the Third Proportional to 92,678 and 123,616

Step by Step Solution

1. Step 1: Write the proportion equation
   92,678 : 123,616 = 123,616 : x
2. Step 2: Convert to fraction form
   92,678/123,616 = 123,616/x
3. Step 3: Cross multiply
   92,678x = 123,616 × 123,616
4. Step 4: Simplify right side
   92,678x = 15,280,915,456
5. Step 5: Solve for x
   x = 15,280,915,456/92,678
6. Step 6: Final answer
   x = 164,881.80