Finding the Third Proportional to 105,009.75 and 158,267.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,009.75 : 158,267.25 = 158,267.25 : x
2. Step 2: Convert to fraction form
   105,009.75/158,267.25 = 158,267.25/x
3. Step 3: Cross multiply
   105,009.75x = 158,267.25 × 158,267.25
4. Step 4: Simplify right side
   105,009.75x = 25,048,522,422.56
5. Step 5: Solve for x
   x = 25,048,522,422.56/105,009.75
6. Step 6: Final answer
   x = 238,535.21