Finding the Third Proportional to 105,147 and 160,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,147 : 160,789.50 = 160,789.50 : x
2. Step 2: Convert to fraction form
   105,147/160,789.50 = 160,789.50/x
3. Step 3: Cross multiply
   105,147x = 160,789.50 × 160,789.50
4. Step 4: Simplify right side
   105,147x = 25,853,263,310.25
5. Step 5: Solve for x
   x = 25,853,263,310.25/105,147
6. Step 6: Final answer
   x = 245,877.33