Finding the Third Proportional to 105,696 and 155,682

Step by Step Solution

1. Step 1: Write the proportion equation
   105,696 : 155,682 = 155,682 : x
2. Step 2: Convert to fraction form
   105,696/155,682 = 155,682/x
3. Step 3: Cross multiply
   105,696x = 155,682 × 155,682
4. Step 4: Simplify right side
   105,696x = 24,236,885,124
5. Step 5: Solve for x
   x = 24,236,885,124/105,696
6. Step 6: Final answer
   x = 229,307.50