Finding the Third Proportional to 105,756 and 155,706

Step by Step Solution

1. Step 1: Write the proportion equation
   105,756 : 155,706 = 155,706 : x
2. Step 2: Convert to fraction form
   105,756/155,706 = 155,706/x
3. Step 3: Cross multiply
   105,756x = 155,706 × 155,706
4. Step 4: Simplify right side
   105,756x = 24,244,358,436
5. Step 5: Solve for x
   x = 24,244,358,436/105,756
6. Step 6: Final answer
   x = 229,248.07