Finding the Third Proportional to 105,951 and 160,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,951 : 160,006.50 = 160,006.50 : x
2. Step 2: Convert to fraction form
   105,951/160,006.50 = 160,006.50/x
3. Step 3: Cross multiply
   105,951x = 160,006.50 × 160,006.50
4. Step 4: Simplify right side
   105,951x = 25,602,080,042.25
5. Step 5: Solve for x
   x = 25,602,080,042.25/105,951
6. Step 6: Final answer
   x = 241,640.76