Finding the Third Proportional to 105,786 and 145,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,786 : 145,057.50 = 145,057.50 : x
2. Step 2: Convert to fraction form
   105,786/145,057.50 = 145,057.50/x
3. Step 3: Cross multiply
   105,786x = 145,057.50 × 145,057.50
4. Step 4: Simplify right side
   105,786x = 21,041,678,306.25
5. Step 5: Solve for x
   x = 21,041,678,306.25/105,786
6. Step 6: Final answer
   x = 198,907.97