Finding the Third Proportional to 105,746 and 155,696

Step by Step Solution

1. Step 1: Write the proportion equation
   105,746 : 155,696 = 155,696 : x
2. Step 2: Convert to fraction form
   105,746/155,696 = 155,696/x
3. Step 3: Cross multiply
   105,746x = 155,696 × 155,696
4. Step 4: Simplify right side
   105,746x = 24,241,244,416
5. Step 5: Solve for x
   x = 24,241,244,416/105,746
6. Step 6: Final answer
   x = 229,240.30