Finding the Third Proportional to 105,076.50 and 157,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,076.50 : 157,243.50 = 157,243.50 : x
2. Step 2: Convert to fraction form
   105,076.50/157,243.50 = 157,243.50/x
3. Step 3: Cross multiply
   105,076.50x = 157,243.50 × 157,243.50
4. Step 4: Simplify right side
   105,076.50x = 24,725,518,292.25
5. Step 5: Solve for x
   x = 24,725,518,292.25/105,076.50
6. Step 6: Final answer
   x = 235,309.69