Finding the Third Proportional to 105,158.25 and 157,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,158.25 : 157,828.50 = 157,828.50 : x
2. Step 2: Convert to fraction form
   105,158.25/157,828.50 = 157,828.50/x
3. Step 3: Cross multiply
   105,158.25x = 157,828.50 × 157,828.50
4. Step 4: Simplify right side
   105,158.25x = 24,909,835,412.25
5. Step 5: Solve for x
   x = 24,909,835,412.25/105,158.25
6. Step 6: Final answer
   x = 236,879.52