Finding the Third Proportional to 105,380.50 and 160,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,380.50 : 160,694.50 = 160,694.50 : x
2. Step 2: Convert to fraction form
   105,380.50/160,694.50 = 160,694.50/x
3. Step 3: Cross multiply
   105,380.50x = 160,694.50 × 160,694.50
4. Step 4: Simplify right side
   105,380.50x = 25,822,722,330.25
5. Step 5: Solve for x
   x = 25,822,722,330.25/105,380.50
6. Step 6: Final answer
   x = 245,042.70