Finding the Third Proportional to 105,106.50 and 158,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,106.50 : 158,746.50 = 158,746.50 : x
2. Step 2: Convert to fraction form
   105,106.50/158,746.50 = 158,746.50/x
3. Step 3: Cross multiply
   105,106.50x = 158,746.50 × 158,746.50
4. Step 4: Simplify right side
   105,106.50x = 25,200,451,262.25
5. Step 5: Solve for x
   x = 25,200,451,262.25/105,106.50
6. Step 6: Final answer
   x = 239,761.11