Finding the Third Proportional to 101,211.75 and 150,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,211.75 : 150,997.50 = 150,997.50 : x
2. Step 2: Convert to fraction form
   101,211.75/150,997.50 = 150,997.50/x
3. Step 3: Cross multiply
   101,211.75x = 150,997.50 × 150,997.50
4. Step 4: Simplify right side
   101,211.75x = 22,800,245,006.25
5. Step 5: Solve for x
   x = 22,800,245,006.25/101,211.75
6. Step 6: Final answer
   x = 225,272.71