Finding the Third Proportional to 105,842 and 145,803

Step by Step Solution

1. Step 1: Write the proportion equation
   105,842 : 145,803 = 145,803 : x
2. Step 2: Convert to fraction form
   105,842/145,803 = 145,803/x
3. Step 3: Cross multiply
   105,842x = 145,803 × 145,803
4. Step 4: Simplify right side
   105,842x = 21,258,514,809
5. Step 5: Solve for x
   x = 21,258,514,809/105,842
6. Step 6: Final answer
   x = 200,851.41