Finding the Third Proportional to 105,846 and 145,809

Step by Step Solution

1. Step 1: Write the proportion equation
   105,846 : 145,809 = 145,809 : x
2. Step 2: Convert to fraction form
   105,846/145,809 = 145,809/x
3. Step 3: Cross multiply
   105,846x = 145,809 × 145,809
4. Step 4: Simplify right side
   105,846x = 21,260,264,481
5. Step 5: Solve for x
   x = 21,260,264,481/105,846
6. Step 6: Final answer
   x = 200,860.35