Finding the Third Proportional to 103,761 and 150,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,761 : 150,133.50 = 150,133.50 : x
2. Step 2: Convert to fraction form
   103,761/150,133.50 = 150,133.50/x
3. Step 3: Cross multiply
   103,761x = 150,133.50 × 150,133.50
4. Step 4: Simplify right side
   103,761x = 22,540,067,822.25
5. Step 5: Solve for x
   x = 22,540,067,822.25/103,761
6. Step 6: Final answer
   x = 217,230.63