Finding the Third Proportional to 41,814 and 101,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,814 : 101,131.50 = 101,131.50 : x
2. Step 2: Convert to fraction form
   41,814/101,131.50 = 101,131.50/x
3. Step 3: Cross multiply
   41,814x = 101,131.50 × 101,131.50
4. Step 4: Simplify right side
   41,814x = 10,227,580,292.25
5. Step 5: Solve for x
   x = 10,227,580,292.25/41,814
6. Step 6: Final answer
   x = 244,597.03