Finding the Third Proportional to 105,840 and 145,800

Step by Step Solution

1. Step 1: Write the proportion equation
   105,840 : 145,800 = 145,800 : x
2. Step 2: Convert to fraction form
   105,840/145,800 = 145,800/x
3. Step 3: Cross multiply
   105,840x = 145,800 × 145,800
4. Step 4: Simplify right side
   105,840x = 21,257,640,000
5. Step 5: Solve for x
   x = 21,257,640,000/105,840
6. Step 6: Final answer
   x = 200,846.94