Finding the Third Proportional to 105,732 and 155,676

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 155,676 = 155,676 : x
2. Step 2: Convert to fraction form
   105,732/155,676 = 155,676/x
3. Step 3: Cross multiply
   105,732x = 155,676 × 155,676
4. Step 4: Simplify right side
   105,732x = 24,235,016,976
5. Step 5: Solve for x
   x = 24,235,016,976/105,732
6. Step 6: Final answer
   x = 229,211.75