Finding the Third Proportional to 105,756 and 145,020

Step by Step Solution

1. Step 1: Write the proportion equation
   105,756 : 145,020 = 145,020 : x
2. Step 2: Convert to fraction form
   105,756/145,020 = 145,020/x
3. Step 3: Cross multiply
   105,756x = 145,020 × 145,020
4. Step 4: Simplify right side
   105,756x = 21,030,800,400
5. Step 5: Solve for x
   x = 21,030,800,400/105,756
6. Step 6: Final answer
   x = 198,861.53