Finding the Third Proportional to 105,109.50 and 157,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,109.50 : 157,510.50 = 157,510.50 : x
2. Step 2: Convert to fraction form
   105,109.50/157,510.50 = 157,510.50/x
3. Step 3: Cross multiply
   105,109.50x = 157,510.50 × 157,510.50
4. Step 4: Simplify right side
   105,109.50x = 24,809,557,610.25
5. Step 5: Solve for x
   x = 24,809,557,610.25/105,109.50
6. Step 6: Final answer
   x = 236,035.35