Finding the Third Proportional to 105,841 and 145,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,841 : 145,801.50 = 145,801.50 : x
2. Step 2: Convert to fraction form
   105,841/145,801.50 = 145,801.50/x
3. Step 3: Cross multiply
   105,841x = 145,801.50 × 145,801.50
4. Step 4: Simplify right side
   105,841x = 21,258,077,402.25
5. Step 5: Solve for x
   x = 21,258,077,402.25/105,841
6. Step 6: Final answer
   x = 200,849.17