Finding the Third Proportional to 105,838.50 and 150,875.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,838.50 : 150,875.25 = 150,875.25 : x
2. Step 2: Convert to fraction form
   105,838.50/150,875.25 = 150,875.25/x
3. Step 3: Cross multiply
   105,838.50x = 150,875.25 × 150,875.25
4. Step 4: Simplify right side
   105,838.50x = 22,763,341,062.56
5. Step 5: Solve for x
   x = 22,763,341,062.56/105,838.50
6. Step 6: Final answer
   x = 215,076.19