Finding the Third Proportional to 105,906 and 155,616

Step by Step Solution

1. Step 1: Write the proportion equation
   105,906 : 155,616 = 155,616 : x
2. Step 2: Convert to fraction form
   105,906/155,616 = 155,616/x
3. Step 3: Cross multiply
   105,906x = 155,616 × 155,616
4. Step 4: Simplify right side
   105,906x = 24,216,339,456
5. Step 5: Solve for x
   x = 24,216,339,456/105,906
6. Step 6: Final answer
   x = 228,658.81